1. Introduction

In a basketball game, the objective of each team is to score more points than the other team to be the winner. As a team sport consisting of five players, each team player requires default skill set of their specific roles.

Load required packages

library(ggplot2)
library(tidyverse)
library(car)
library(broom)

2. Reading and cleaning the raw data

To begin with, the team winning percentage will first be considered. With the five data sets provided, the two 2018-2019 NBA team statistics files are first be read and combined to one data set. All variables from these two files are included at this first stage. No missing values are shown. Instead of using the Wins(W) and Loses(L) data values, Winning Percentage (win_per) is calculated by (Wins / Total Games*100%) to get a continuous factor valuables for further expression. The remaining two data sets of player statistics and player salaries, as well as the expected player contracts budge, will be considered at the later stage.

Data source

df <- read.csv("~/Desktop/Reproducible Projects/Data/Raw/2018-19_nba_team-statistics_1.csv")
df2 <- read.csv("~/Desktop/Reproducible Projects/Data/Raw/2018-19_nba_team-statistics_2.csv")
data_both <- left_join(df,df2, by = "Team")
str(data_both)
## 'data.frame':    30 obs. of  49 variables:
##  $ Rk.x  : int  1 2 3 4 5 6 7 8 9 10 ...
##  $ Team  : chr  "Milwaukee Bucks" "Golden State Warriors" "Toronto Raptors" "Utah Jazz" ...
##  $ Age   : num  26.9 28.4 27.3 27.3 29.2 26.2 24.9 25.7 25.7 27 ...
##  $ W     : int  60 57 58 50 53 53 54 49 49 48 ...
##  $ L     : int  22 25 24 32 29 29 28 33 33 34 ...
##  $ PW    : int  61 56 56 54 53 51 51 52 50 50 ...
##  $ PL    : int  21 26 26 28 29 31 31 30 32 32 ...
##  $ MOV   : num  8.87 6.46 6.09 5.26 4.77 4.2 3.95 4.44 3.4 3.33 ...
##  $ SOS   : num  -0.82 -0.04 -0.6 0.03 0.19 0.24 0.24 -0.54 0.15 -0.57 ...
##  $ SRS   : num  8.04 6.42 5.49 5.28 4.96 4.43 4.19 3.9 3.56 2.76 ...
##  $ ORtg  : num  114 116 113 111 116 ...
##  $ DRtg  : num  105 110 107 106 111 ...
##  $ NRtg  : num  8.6 6.4 6 5.2 4.8 4.2 4.1 4.4 3.3 3.4 ...
##  $ Pace  : num  103.3 100.9 100.2 100.3 97.9 ...
##  $ FTr   : num  0.255 0.227 0.247 0.295 0.279 0.258 0.232 0.215 0.266 0.242 ...
##  $ X3PAr : num  0.419 0.384 0.379 0.394 0.519 0.339 0.348 0.381 0.347 0.292 ...
##  $ TS.   : num  0.583 0.596 0.579 0.572 0.581 0.568 0.558 0.567 0.545 0.561 ...
##  $ eFG.  : num  0.55 0.565 0.543 0.538 0.542 0.528 0.527 0.534 0.514 0.53 ...
##  $ TOV.  : num  12 12.6 12.4 13.4 12 12.1 11.9 11.5 11.7 12.4 ...
##  $ ORB.  : num  20.8 22.5 21.9 22.9 22.8 26.6 26.6 21.6 26 21.9 ...
##  $ FT.FGA: num  0.197 0.182 0.198 0.217 0.221 0.21 0.175 0.173 0.19 0.182 ...
##  $ DRB.  : num  80.3 77.1 77.1 80.3 74.4 77.9 78 77 78.2 76.2 ...
##  $ X     : logi  NA NA NA NA NA NA ...
##  $ X.1   : logi  NA NA NA NA NA NA ...
##  $ X.2   : logi  NA NA NA NA NA NA ...
##  $ Rk.y  : int  1 2 8 17 11 6 20 14 7 22 ...
##  $ G     : int  82 82 82 82 82 82 82 82 82 82 ...
##  $ MP    : int  19780 19805 19880 19755 19830 19855 19730 19780 19855 19705 ...
##  $ FG    : int  3555 3612 3460 3314 3218 3470 3439 3451 3497 3390 ...
##  $ FGA   : int  7471 7361 7305 7082 7163 7427 7384 7423 7706 7135 ...
##  $ FG.   : num  0.476 0.491 0.474 0.468 0.449 0.467 0.466 0.465 0.454 0.475 ...
##  $ X3P   : int  1105 1087 1015 993 1323 904 903 1032 932 779 ...
##  $ X3PA  : int  3134 2824 2771 2789 3721 2520 2571 2829 2677 2081 ...
##  $ X3P.  : num  0.353 0.385 0.366 0.356 0.356 0.359 0.351 0.365 0.348 0.374 ...
##  $ X2P   : int  2450 2525 2445 2321 1895 2566 2536 2419 2565 2611 ...
##  $ X2PA  : int  4337 4537 4534 4293 3442 4907 4813 4594 5029 5054 ...
##  $ X2P.  : num  0.565 0.557 0.539 0.541 0.551 0.523 0.527 0.527 0.51 0.517 ...
##  $ FT    : int  1471 1339 1449 1540 1582 1558 1294 1282 1461 1298 ...
##  $ FTA   : int  1904 1672 1803 2092 2001 1914 1714 1598 2049 1727 ...
##  $ FT.   : num  0.773 0.801 0.804 0.736 0.791 0.814 0.755 0.802 0.713 0.752 ...
##  $ ORB   : int  762 797 786 820 836 967 972 804 1031 762 ...
##  $ DRB   : int  3316 2990 2920 2981 2613 2968 2832 2849 2911 2766 ...
##  $ TRB   : int  4078 3787 3706 3801 3449 3935 3804 3653 3942 3528 ...
##  $ AST   : int  2136 2413 2085 2133 1741 1887 2245 2155 1917 2128 ...
##  $ STL   : int  615 625 680 663 700 546 634 706 766 713 ...
##  $ BLK   : int  486 525 437 483 405 413 363 435 425 404 ...
##  $ TOV   : int  1137 1169 1150 1240 1094 1135 1102 1052 1145 1122 ...
##  $ PF    : int  1608 1757 1724 1728 1803 1669 1644 1670 1839 1594 ...
##  $ PTS   : int  9686 9650 9384 9161 9341 9402 9075 9216 9387 8857 ...
head(data_both)
##   Rk.x                   Team  Age  W  L PW PL  MOV   SOS  SRS  ORtg  DRtg NRtg
## 1    1        Milwaukee Bucks 26.9 60 22 61 21 8.87 -0.82 8.04 113.8 105.2  8.6
## 2    2  Golden State Warriors 28.4 57 25 56 26 6.46 -0.04 6.42 115.9 109.5  6.4
## 3    3        Toronto Raptors 27.3 58 24 56 26 6.09 -0.60 5.49 113.1 107.1  6.0
## 4    4              Utah Jazz 27.3 50 32 54 28 5.26  0.03 5.28 110.9 105.7  5.2
## 5    5        Houston Rockets 29.2 53 29 53 29 4.77  0.19 4.96 115.5 110.7  4.8
## 6    6 Portland Trail Blazers 26.2 53 29 51 31 4.20  0.24 4.43 114.7 110.5  4.2
##    Pace   FTr X3PAr   TS.  eFG. TOV. ORB. FT.FGA DRB.  X X.1 X.2 Rk.y  G    MP
## 1 103.3 0.255 0.419 0.583 0.550 12.0 20.8  0.197 80.3 NA  NA  NA    1 82 19780
## 2 100.9 0.227 0.384 0.596 0.565 12.6 22.5  0.182 77.1 NA  NA  NA    2 82 19805
## 3 100.2 0.247 0.379 0.579 0.543 12.4 21.9  0.198 77.1 NA  NA  NA    8 82 19880
## 4 100.3 0.295 0.394 0.572 0.538 13.4 22.9  0.217 80.3 NA  NA  NA   17 82 19755
## 5  97.9 0.279 0.519 0.581 0.542 12.0 22.8  0.221 74.4 NA  NA  NA   11 82 19830
## 6  99.1 0.258 0.339 0.568 0.528 12.1 26.6  0.210 77.9 NA  NA  NA    6 82 19855
##     FG  FGA   FG.  X3P X3PA  X3P.  X2P X2PA  X2P.   FT  FTA   FT. ORB  DRB  TRB
## 1 3555 7471 0.476 1105 3134 0.353 2450 4337 0.565 1471 1904 0.773 762 3316 4078
## 2 3612 7361 0.491 1087 2824 0.385 2525 4537 0.557 1339 1672 0.801 797 2990 3787
## 3 3460 7305 0.474 1015 2771 0.366 2445 4534 0.539 1449 1803 0.804 786 2920 3706
## 4 3314 7082 0.468  993 2789 0.356 2321 4293 0.541 1540 2092 0.736 820 2981 3801
## 5 3218 7163 0.449 1323 3721 0.356 1895 3442 0.551 1582 2001 0.791 836 2613 3449
## 6 3470 7427 0.467  904 2520 0.359 2566 4907 0.523 1558 1914 0.814 967 2968 3935
##    AST STL BLK  TOV   PF  PTS
## 1 2136 615 486 1137 1608 9686
## 2 2413 625 525 1169 1757 9650
## 3 2085 680 437 1150 1724 9384
## 4 2133 663 483 1240 1728 9161
## 5 1741 700 405 1094 1803 9341
## 6 1887 546 413 1135 1669 9402
tail(data_both)
##    Rk.x                Team  Age  W  L PW PL   MOV   SOS   SRS  ORtg  DRtg NRtg
## 25   25  Washington Wizards 26.5 32 50 34 48 -2.90 -0.40 -3.30 111.1 113.9 -2.8
## 26   26       Atlanta Hawks 25.1 29 53 27 55 -6.02 -0.04 -6.06 108.1 113.9 -5.8
## 27   27       Chicago Bulls 24.0 22 60 21 61 -8.41  0.10 -8.32 104.8 113.2 -8.4
## 28   28        Phoenix Suns 24.0 19 63 19 63 -9.34  0.73 -8.61 105.9 115.1 -9.2
## 29   29     New York Knicks 23.4 17 65 19 63 -9.21  0.28 -8.93 104.5 113.7 -9.2
## 30   30 Cleveland Cavaliers 25.2 19 63 19 63 -9.61  0.22 -9.39 107.7 117.6 -9.9
##     Pace   FTr X3PAr   TS.  eFG. TOV. ORB. FT.FGA DRB.  X X.1 X.2 Rk.y  G    MP
## 25 101.4 0.266 0.370 0.567 0.531 12.3 21.3  0.204 74.1 NA  NA  NA   10 82 19930
## 26 103.9 0.255 0.403 0.555 0.522 14.3 24.7  0.192 76.4 NA  NA  NA   12 82 19855
## 27  99.0 0.235 0.295 0.541 0.505 12.7 19.4  0.184 77.3 NA  NA  NA   27 82 19905
## 28 100.5 0.259 0.335 0.552 0.514 13.8 20.5  0.202 72.5 NA  NA  NA   23 82 19880
## 29  99.6 0.270 0.334 0.529 0.490 12.4 22.1  0.205 76.1 NA  NA  NA   28 82 19780
## 30  96.6 0.236 0.332 0.540 0.503 12.2 23.7  0.187 77.0 NA  NA  NA   29 82 19755
##      FG  FGA   FG.  X3P X3PA  X3P.  X2P X2PA  X2P.   FT  FTA   FT. ORB  DRB
## 25 3456 7387 0.468  930 2731 0.341 2526 4656 0.543 1508 1963 0.768 794 2679
## 26 3392 7524 0.451 1067 3034 0.352 2325 4490 0.518 1443 1918 0.752 955 2825
## 27 3266 7205 0.453  745 2123 0.351 2521 5082 0.496 1328 1695 0.783 718 2799
## 28 3289 7164 0.459  790 2400 0.329 2499 4764 0.525 1447 1858 0.779 748 2563
## 29 3134 7241 0.433  823 2421 0.340 2311 4820 0.479 1484 1956 0.759 857 2811
## 30 3189 7184 0.444  847 2388 0.355 2342 4796 0.488 1342 1694 0.792 879 2619
##     TRB  AST STL BLK  TOV   PF  PTS
## 25 3473 2154 683 379 1154 1701 9350
## 26 3780 2118 675 419 1397 1932 9294
## 27 3517 1796 603 351 1159 1663 8605
## 28 3311 1957 735 418 1279 1932 8815
## 29 3668 1646 557 422 1151 1713 8575
## 30 3498 1698 534 195 1106 1642 8567
## check duplicated values
duplicated(data_both)
##  [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [13] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [25] FALSE FALSE FALSE FALSE FALSE FALSE
## Handling Missing values
complete(data_both)
##    Rk.x                   Team  Age  W  L PW PL   MOV   SOS   SRS  ORtg  DRtg
## 1     1        Milwaukee Bucks 26.9 60 22 61 21  8.87 -0.82  8.04 113.8 105.2
## 2     2  Golden State Warriors 28.4 57 25 56 26  6.46 -0.04  6.42 115.9 109.5
## 3     3        Toronto Raptors 27.3 58 24 56 26  6.09 -0.60  5.49 113.1 107.1
## 4     4              Utah Jazz 27.3 50 32 54 28  5.26  0.03  5.28 110.9 105.7
## 5     5        Houston Rockets 29.2 53 29 53 29  4.77  0.19  4.96 115.5 110.7
## 6     6 Portland Trail Blazers 26.2 53 29 51 31  4.20  0.24  4.43 114.7 110.5
## 7     7         Denver Nuggets 24.9 54 28 51 31  3.95  0.24  4.19 113.0 108.9
## 8     8         Boston Celtics 25.7 49 33 52 30  4.44 -0.54  3.90 112.2 107.8
## 9     9  Oklahoma City Thunder 25.7 49 33 50 32  3.40  0.15  3.56 110.3 107.0
## 10   10         Indiana Pacers 27.0 48 34 50 32  3.33 -0.57  2.76 109.9 106.5
## 11   11     Philadelphia 76ers 26.4 51 31 48 34  2.70 -0.44  2.25 112.6 110.0
## 12   12      San Antonio Spurs 28.8 48 34 45 37  1.68  0.12  1.80 112.9 111.2
## 13   13   Los Angeles Clippers 27.2 48 34 43 39  0.85  0.23  1.09 112.4 111.5
## 14   14          Orlando Magic 25.7 42 40 43 39  0.71 -0.43  0.28 108.9 108.1
## 15   15          Brooklyn Nets 25.4 42 40 41 41 -0.07 -0.33 -0.40 109.6 109.7
## 16   16             Miami Heat 27.0 39 43 40 42 -0.23 -0.22 -0.45 107.3 107.6
## 17   17        Detroit Pistons 26.9 41 41 40 42 -0.24 -0.31 -0.56 109.0 109.2
## 18   18       Sacramento Kings 24.8 39 43 38 44 -1.12  0.31 -0.81 110.4 111.5
## 19   19       Dallas Mavericks 26.9 33 49 38 44 -1.28  0.42 -0.87 109.4 110.7
## 20   20 Minnesota Timberwolves 26.2 36 46 37 45 -1.50  0.48 -1.02 111.4 112.9
## 21   21   New Orleans Pelicans 25.7 33 49 38 44 -1.33  0.23 -1.10 111.4 112.6
## 22   22      Charlotte Hornets 26.6 39 43 38 44 -1.10 -0.22 -1.32 111.4 112.5
## 23   23     Los Angeles Lakers 26.2 37 45 37 45 -1.72  0.39 -1.33 107.8 109.5
## 24   24      Memphis Grizzlies 27.7 33 49 34 48 -2.60  0.51 -2.08 106.1 108.8
## 25   25     Washington Wizards 26.5 32 50 34 48 -2.90 -0.40 -3.30 111.1 113.9
## 26   26          Atlanta Hawks 25.1 29 53 27 55 -6.02 -0.04 -6.06 108.1 113.9
## 27   27          Chicago Bulls 24.0 22 60 21 61 -8.41  0.10 -8.32 104.8 113.2
## 28   28           Phoenix Suns 24.0 19 63 19 63 -9.34  0.73 -8.61 105.9 115.1
## 29   29        New York Knicks 23.4 17 65 19 63 -9.21  0.28 -8.93 104.5 113.7
## 30   30    Cleveland Cavaliers 25.2 19 63 19 63 -9.61  0.22 -9.39 107.7 117.6
##    NRtg  Pace   FTr X3PAr   TS.  eFG. TOV. ORB. FT.FGA DRB.  X X.1 X.2 Rk.y  G
## 1   8.6 103.3 0.255 0.419 0.583 0.550 12.0 20.8  0.197 80.3 NA  NA  NA    1 82
## 2   6.4 100.9 0.227 0.384 0.596 0.565 12.6 22.5  0.182 77.1 NA  NA  NA    2 82
## 3   6.0 100.2 0.247 0.379 0.579 0.543 12.4 21.9  0.198 77.1 NA  NA  NA    8 82
## 4   5.2 100.3 0.295 0.394 0.572 0.538 13.4 22.9  0.217 80.3 NA  NA  NA   17 82
## 5   4.8  97.9 0.279 0.519 0.581 0.542 12.0 22.8  0.221 74.4 NA  NA  NA   11 82
## 6   4.2  99.1 0.258 0.339 0.568 0.528 12.1 26.6  0.210 77.9 NA  NA  NA    6 82
## 7   4.1  97.7 0.232 0.348 0.558 0.527 11.9 26.6  0.175 78.0 NA  NA  NA   20 82
## 8   4.4  99.6 0.215 0.381 0.567 0.534 11.5 21.6  0.173 77.0 NA  NA  NA   14 82
## 9   3.3 102.8 0.266 0.347 0.545 0.514 11.7 26.0  0.190 78.2 NA  NA  NA    7 82
## 10  3.4  98.1 0.242 0.292 0.561 0.530 12.4 21.9  0.182 76.2 NA  NA  NA   22 82
## 11  2.6 101.6 0.312 0.342 0.574 0.532 12.9 24.5  0.241 78.6 NA  NA  NA    4 82
## 12  1.7  98.3 0.237 0.286 0.572 0.534 11.0 21.0  0.194 79.4 NA  NA  NA   18 82
## 13  0.9 101.7 0.326 0.295 0.575 0.529 12.7 22.0  0.258 76.0 NA  NA  NA    5 82
## 14  0.8  98.1 0.216 0.360 0.550 0.518 11.9 22.0  0.168 79.7 NA  NA  NA   24 82
## 15 -0.1 100.8 0.284 0.403 0.556 0.520 13.0 23.8  0.211 76.4 NA  NA  NA   15 82
## 16 -0.3  98.2 0.247 0.368 0.542 0.515 13.1 24.8  0.172 77.6 NA  NA  NA   26 82
## 17 -0.2  97.4 0.262 0.394 0.544 0.509 12.3 24.8  0.195 78.7 NA  NA  NA   25 82
## 18 -1.1 103.1 0.244 0.321 0.554 0.524 11.5 23.1  0.177 75.5 NA  NA  NA    9 82
## 19 -1.3  99.0 0.291 0.422 0.555 0.519 12.7 22.7  0.216 77.5 NA  NA  NA   21 82
## 20 -1.5 100.2 0.267 0.315 0.552 0.511 11.4 24.6  0.210 74.9 NA  NA  NA   13 82
## 21 -1.2 103.3 0.254 0.324 0.563 0.529 12.6 24.1  0.193 76.8 NA  NA  NA    3 82
## 22 -1.1  98.7 0.257 0.378 0.554 0.514 10.9 21.7  0.205 77.1 NA  NA  NA   19 82
## 23 -1.7 103.2 0.257 0.342 0.554 0.527 13.4 22.2  0.180 76.4 NA  NA  NA   16 82
## 24 -2.7  96.6 0.272 0.342 0.548 0.508 12.9 20.0  0.210 77.6 NA  NA  NA   30 82
## 25 -2.8 101.4 0.266 0.370 0.567 0.531 12.3 21.3  0.204 74.1 NA  NA  NA   10 82
## 26 -5.8 103.9 0.255 0.403 0.555 0.522 14.3 24.7  0.192 76.4 NA  NA  NA   12 82
## 27 -8.4  99.0 0.235 0.295 0.541 0.505 12.7 19.4  0.184 77.3 NA  NA  NA   27 82
## 28 -9.2 100.5 0.259 0.335 0.552 0.514 13.8 20.5  0.202 72.5 NA  NA  NA   23 82
## 29 -9.2  99.6 0.270 0.334 0.529 0.490 12.4 22.1  0.205 76.1 NA  NA  NA   28 82
## 30 -9.9  96.6 0.236 0.332 0.540 0.503 12.2 23.7  0.187 77.0 NA  NA  NA   29 82
##       MP   FG  FGA   FG.  X3P X3PA  X3P.  X2P X2PA  X2P.   FT  FTA   FT.  ORB
## 1  19780 3555 7471 0.476 1105 3134 0.353 2450 4337 0.565 1471 1904 0.773  762
## 2  19805 3612 7361 0.491 1087 2824 0.385 2525 4537 0.557 1339 1672 0.801  797
## 3  19880 3460 7305 0.474 1015 2771 0.366 2445 4534 0.539 1449 1803 0.804  786
## 4  19755 3314 7082 0.468  993 2789 0.356 2321 4293 0.541 1540 2092 0.736  820
## 5  19830 3218 7163 0.449 1323 3721 0.356 1895 3442 0.551 1582 2001 0.791  836
## 6  19855 3470 7427 0.467  904 2520 0.359 2566 4907 0.523 1558 1914 0.814  967
## 7  19730 3439 7384 0.466  903 2571 0.351 2536 4813 0.527 1294 1714 0.755  972
## 8  19780 3451 7423 0.465 1032 2829 0.365 2419 4594 0.527 1282 1598 0.802  804
## 9  19855 3497 7706 0.454  932 2677 0.348 2565 5029 0.510 1461 2049 0.713 1031
## 10 19705 3390 7135 0.475  779 2081 0.374 2611 5054 0.517 1298 1727 0.752  762
## 11 19805 3407 7233 0.471  889 2474 0.359 2518 4759 0.529 1742 2258 0.771  892
## 12 19805 3468 7248 0.478  812 2071 0.392 2656 5177 0.513 1408 1720 0.819  757
## 13 19830 3384 7178 0.471  821 2118 0.388 2563 5060 0.507 1853 2340 0.792  796
## 14 19780 3316 7307 0.454  937 2633 0.356 2379 4674 0.509 1231 1575 0.782  822
## 15 19980 3301 7358 0.449 1047 2965 0.353 2254 4393 0.513 1555 2088 0.745  900
## 16 19730 3251 7218 0.450  928 2658 0.349 2323 4560 0.509 1238 1782 0.695  921
## 17 19855 3185 7238 0.440  993 2854 0.348 2192 4384 0.500 1415 1893 0.747  936
## 18 19730 3541 7637 0.464  927 2455 0.378 2614 5182 0.504 1354 1865 0.726  906
## 19 19780 3182 7122 0.447 1022 3002 0.340 2160 4120 0.524 1541 2076 0.742  832
## 20 19830 3413 7483 0.456  827 2357 0.351 2586 5126 0.504 1570 1995 0.787  923
## 21 19755 3581 7563 0.473  842 2449 0.344 2739 5114 0.536 1462 1921 0.761  909
## 22 19830 3297 7362 0.448  977 2783 0.351 2320 4579 0.507 1510 1895 0.797  814
## 23 19780 3491 7425 0.470  847 2541 0.333 2644 4884 0.541 1336 1910 0.699  835
## 24 19880 3113 6924 0.450  811 2368 0.342 2302 4556 0.505 1453 1882 0.772  723
## 25 19930 3456 7387 0.468  930 2731 0.341 2526 4656 0.543 1508 1963 0.768  794
## 26 19855 3392 7524 0.451 1067 3034 0.352 2325 4490 0.518 1443 1918 0.752  955
## 27 19905 3266 7205 0.453  745 2123 0.351 2521 5082 0.496 1328 1695 0.783  718
## 28 19880 3289 7164 0.459  790 2400 0.329 2499 4764 0.525 1447 1858 0.779  748
## 29 19780 3134 7241 0.433  823 2421 0.340 2311 4820 0.479 1484 1956 0.759  857
## 30 19755 3189 7184 0.444  847 2388 0.355 2342 4796 0.488 1342 1694 0.792  879
##     DRB  TRB  AST STL BLK  TOV   PF  PTS
## 1  3316 4078 2136 615 486 1137 1608 9686
## 2  2990 3787 2413 625 525 1169 1757 9650
## 3  2920 3706 2085 680 437 1150 1724 9384
## 4  2981 3801 2133 663 483 1240 1728 9161
## 5  2613 3449 1741 700 405 1094 1803 9341
## 6  2968 3935 1887 546 413 1135 1669 9402
## 7  2832 3804 2245 634 363 1102 1644 9075
## 8  2849 3653 2155 706 435 1052 1670 9216
## 9  2911 3942 1917 766 425 1145 1839 9387
## 10 2766 3528 2128 713 404 1122 1594 8857
## 11 3025 3917 2207 606 432 1223 1745 9445
## 12 2910 3667 2013 501 386  992 1487 9156
## 13 2936 3732 1970 561 385 1193 1913 9442
## 14 2902 3724 2095 543 445 1082 1526 8800
## 15 2919 3819 1954 539 339 1236 1763 9204
## 16 2879 3800 1991 627 448 1208 1712 8668
## 17 2752 3688 1845 569 331 1135 1811 8778
## 18 2819 3725 2083 679 363 1095 1751 9363
## 19 2884 3716 1918 533 351 1167 1650 8927
## 20 2750 3673 2018 683 411 1074 1664 9223
## 21 2969 3878 2216 610 441 1215 1732 9466
## 22 2778 3592 1905 591 405 1001 1550 9081
## 23 2985 3820 2096 618 440 1284 1701 9165
## 24 2703 3426 1963 684 448 1147 1801 8490
## 25 2679 3473 2154 683 379 1154 1701 9350
## 26 2825 3780 2118 675 419 1397 1932 9294
## 27 2799 3517 1796 603 351 1159 1663 8605
## 28 2563 3311 1957 735 418 1279 1932 8815
## 29 2811 3668 1646 557 422 1151 1713 8575
## 30 2619 3498 1698 534 195 1106 1642 8567
sum(is.na(data_both))
## [1] 90
which(is.na(data_both), arr.ind = TRUE)
##       row col
##  [1,]   1  23
##  [2,]   2  23
##  [3,]   3  23
##  [4,]   4  23
##  [5,]   5  23
##  [6,]   6  23
##  [7,]   7  23
##  [8,]   8  23
##  [9,]   9  23
## [10,]  10  23
## [11,]  11  23
## [12,]  12  23
## [13,]  13  23
## [14,]  14  23
## [15,]  15  23
## [16,]  16  23
## [17,]  17  23
## [18,]  18  23
## [19,]  19  23
## [20,]  20  23
## [21,]  21  23
## [22,]  22  23
## [23,]  23  23
## [24,]  24  23
## [25,]  25  23
## [26,]  26  23
## [27,]  27  23
## [28,]  28  23
## [29,]  29  23
## [30,]  30  23
## [31,]   1  24
## [32,]   2  24
## [33,]   3  24
## [34,]   4  24
## [35,]   5  24
## [36,]   6  24
## [37,]   7  24
## [38,]   8  24
## [39,]   9  24
## [40,]  10  24
## [41,]  11  24
## [42,]  12  24
## [43,]  13  24
## [44,]  14  24
## [45,]  15  24
## [46,]  16  24
## [47,]  17  24
## [48,]  18  24
## [49,]  19  24
## [50,]  20  24
## [51,]  21  24
## [52,]  22  24
## [53,]  23  24
## [54,]  24  24
## [55,]  25  24
## [56,]  26  24
## [57,]  27  24
## [58,]  28  24
## [59,]  29  24
## [60,]  30  24
## [61,]   1  25
## [62,]   2  25
## [63,]   3  25
## [64,]   4  25
## [65,]   5  25
## [66,]   6  25
## [67,]   7  25
## [68,]   8  25
## [69,]   9  25
## [70,]  10  25
## [71,]  11  25
## [72,]  12  25
## [73,]  13  25
## [74,]  14  25
## [75,]  15  25
## [76,]  16  25
## [77,]  17  25
## [78,]  18  25
## [79,]  19  25
## [80,]  20  25
## [81,]  21  25
## [82,]  22  25
## [83,]  23  25
## [84,]  24  25
## [85,]  25  25
## [86,]  26  25
## [87,]  27  25
## [88,]  28  25
## [89,]  29  25
## [90,]  30  25
naniar::vis_miss(data_both)

data_both[is.na(data_both)] = 0
sum(is.na(data_both))
## [1] 0
# calculating wining percentage(continuous variables)

data_both <- mutate(data_both, win_per = W/G * 100)
data_both$win_per <- round(data_both$win_per, 2)

3. Exploratory analysis

To create visualisation to determine how each individual explanatory variable (ORtg, DRtg, MP, FG, etc.) relates to the winning percentage (win_per), total 34 plots are formed by plotting winning percentage against each variables form the combined data set.

## Relationship between offensive rating and win%
ggplot(data = data_both, aes(x = ORtg, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = ORtg, y = win_per))
## [1] 0.8410927
## Relationship between defensive rating and win%
ggplot(data = data_both, aes(x = DRtg, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = DRtg, y = win_per))
## [1] -0.7598063
## Relationship between Net rating and win%
ggplot(data = data_both, aes(x = NRtg, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = NRtg, y = win_per))
## [1] 0.9800259
## Relationship between Pace and win%
ggplot(data = data_both, aes(x = Pace, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = Pace, y = win_per))
## [1] 0.08896707
## Relationship between free throw attempt rate and win%
ggplot(data = data_both, aes(x = FTr, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = FTr, y = win_per))
## [1] 0.02348235
## Relationship between 3-points attempt rate and win%
ggplot(data = data_both, aes(x = X3PAr, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = X3PAr, y = win_per))
## [1] 0.2842707
## Relationship between true shooting%  and win%
## Points/[2*(Field Goals Attempted + 0.44 * Free Throws Attempted)]
ggplot(data = data_both, aes(x = TS. , y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = TS. , y = win_per))
## [1] 0.7570871
## Relationship between effective field goal% and win%
## ((FGM + 0.5 * 3PM)) / FGA
ggplot(data = data_both, aes(x = eFG. , y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = eFG. , y = win_per))
## [1] 0.7818481
## Relationship between turnover% and win%
ggplot(data = data_both, aes(x = TOV. , y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = TOV. , y = win_per))
## [1] -0.3068452
## Relationship between offensive rebound% and win%
ggplot(data = data_both, aes(x = ORB. , y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = ORB. , y = win_per))
## [1] 0.2354179
##Relationship between free throws per field goal attempt and win%
ggplot(data = data_both, aes(x = FT.FGA , y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = FT.FGA , y = win_per))
## [1] 0.0861065
## Relationship between defensive rebound% and win%
ggplot(data = data_both, aes(x = DRB. , y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = DRB. , y = win_per))
## [1] 0.4483858
## Relationship between minutes played and win%
ggplot(data = data_both, aes(x = MP, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = MP, y = win_per))
## [1] -0.144398
## Relationship between field goal and win%
ggplot(data = data_both, aes(x = FG, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = FG, y = win_per))
## [1] 0.5259582
## Relationship between field goal attempt and win%
ggplot(data = data_both, aes(x = FGA, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = FGA, y = win_per))
## [1] 0.1679701
## Relationship between field goal% and win%
data_both$FG. <- data_both$FG. * 100
ggplot(data = data_both, aes(x = FG., y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = FG., y = win_per))
## [1] 0.6108395
## Relationship between 3-points field goal and win%
ggplot(data = data_both, aes(x = X3P, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = X3P, y = win_per))
## [1] 0.4838393
## Relationship between 3-points field goal attemp and win%
ggplot(data = data_both, aes(x = X3PA, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = X3PA, y = win_per))
## [1] 0.312573
## Relationship between 3-points field goal% and win%
data_both$X3P. <- data_both$X3P. * 100
ggplot(data = data_both, aes(x = X3P., y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = X3P., y = win_per))
## [1] 0.5419247
## Relationship between 2-points field goal and win%
ggplot(data = data_both, aes(x = X2P, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = X2P, y = win_per))
## [1] 0.06873326
## Relationship between 2-points field goal attempt and win%
ggplot(data = data_both, aes(x = X2PA, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = X2PA, y = win_per))
## [1] -0.2181137
## Relationship between 2-points fiels goals% and win%
data_both$X2P. <- data_both$X2P. * 100
ggplot(data = data_both, aes(x = X2P., y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = X2P., y = win_per))
## [1] 0.6008858
## Relationship between free throw and win%
ggplot(data = data_both, aes(x = FT, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = FT, y = win_per))
## [1] 0.1297826
## ## Relationship between free throw attempt and win%
ggplot(data = data_both, aes(x = FTA, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = FTA, y = win_per))
## [1] 0.06231113
## ## Relationship between free throw% and win%
data_both$FT. <- data_both$FT. * 100
ggplot(data = data_both, aes(x = FT. , y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = FT. , y = win_per))
## [1] 0.1611426
##Relationship between offensive rebounds and win%
ggplot(data = data_both, aes(x = ORB, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = ORB, y = win_per))
## [1] 0.07860252
## Relationship between defensive rebounds and win%
ggplot(data = data_both, aes(x = DRB, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = DRB, y = win_per))
## [1] 0.5749105
## Relationship between total rebounds and win%
ggplot(data = data_both, aes(x = TRB, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = TRB, y = win_per))
## [1] 0.52877
## Relationship between assist and win%
ggplot(data = data_both, aes(x = AST, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = AST, y = win_per))
## [1] 0.5018845
## Relationship between steal and win%
ggplot(data = data_both, aes(x = STL, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = STL, y = win_per))
## [1] 0.1020406
## Relationship between block and win%
ggplot(data = data_both, aes(x = BLK, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = BLK, y = win_per))
## [1] 0.4448873
## Relationship between turnover and win%
ggplot(data = data_both, aes(x = TOV, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = TOV, y = win_per))
## [1] -0.2470975
## Relationship between personal foul and win%
ggplot(data = data_both, aes(x = PF, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = PF, y = win_per))
## [1] -0.1606102
## Relationship between points and win%
ggplot(data = data_both, aes(x = PTS, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = PTS, y = win_per))
## [1] 0.6605931
## Relationship between age and win%
ggplot(data = data_both, aes(x = Age, y = win_per)) +
  geom_point(colour = "black") +
  geom_smooth(method = "lm")
## `geom_smooth()` using formula 'y ~ x'

with(data_both, cor(x = Age, y = win_per))
## [1] 0.6217657

Multiple Linear Regression

By investigating on the above plots, 4 variables with high strength of the winning percentage relationship as well as P-value, are considered for further data modelling.

1) TS. (true shoot percentage)

2) TOV (turn over)

3) TRB (total rebound)

4) Age

##TS. + TOV + TRB + Age

fit <- lm(win_per ~  TS. + TOV + TRB + Age  , data = data_both)
tidy(fit, conf.int = TRUE)
## # A tibble: 5 x 7
##   term         estimate std.error statistic     p.value  conf.low conf.high
##   <chr>           <dbl>     <dbl>     <dbl>       <dbl>     <dbl>     <dbl>
## 1 (Intercept) -366.      53.5         -6.84 0.000000359 -476.     -256.    
## 2 TS.          472.     121.           3.92 0.000615     224.      721.    
## 3 TOV           -0.0439   0.0164      -2.68 0.0129        -0.0777   -0.0101
## 4 TRB            0.0374   0.00798      4.68 0.0000849      0.0209    0.0538
## 5 Age            2.44     1.33         1.84 0.0781        -0.295     5.17
summary(fit)
## 
## Call:
## lm(formula = win_per ~ TS. + TOV + TRB + Age, data = data_both)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -13.8481  -4.6074   0.2328   3.9613  13.8741 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -365.99543   53.49450  -6.842 3.59e-07 ***
## TS.          472.31489  120.61488   3.916 0.000615 ***
## TOV           -0.04394    0.01641  -2.677 0.012933 *  
## TRB            0.03736    0.00798   4.682 8.49e-05 ***
## Age            2.43787    1.32708   1.837 0.078125 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6.991 on 25 degrees of freedom
## Multiple R-squared:  0.8042, Adjusted R-squared:  0.7729 
## F-statistic: 25.67 on 4 and 25 DF,  p-value: 1.552e-08

4. Data modelling and results

A multiple linear regression is then conducted to model win_per based on the four selected variables (TS., TOV, TRB, Age) to get the correlation coefficient value for the preliminary model formula.


Independence

By using durbinWatson Test, the D-W statistic is 1.44 which is under value of 2.0. Thus, the model is assumed to be independence of observations.

car::durbinWatsonTest(fit)
##  lag Autocorrelation D-W Statistic p-value
##    1       0.3968211      1.119269   0.006
##  Alternative hypothesis: rho != 0

Outliers

All plots are within the range of -3 to +3. Therefore, it is considered to be no outliner.

std_res <- rstandard(fit)
points <- 1:length(std_res)

ggplot(data = NULL, aes(x = points, y = std_res))+
  geom_point() +
  ylim(c(-4,4)) +
  geom_hline(yintercept = c (-3,3), colour = "blue", linetype = "dashed")

Leverage Points

There are no hat values greater than 1, it is considered that there are no high leverage points that may have potential to influence the model.

hats <- hatvalues(fit)

ggplot(data = NULL, aes(x = points, y = hats)) +
  geom_point()

hat_labels <- if_else(hats >= 0.4, paste(points), "")

ggplot(data = NULL, aes(x = points, y = hats)) +
  geom_point() +
  geom_text(aes(label = hat_labels), nudge_y = 0.02)

Influential points

Two plot are found (10 and 18) bit far away from the other points, which may have high influence, these two points would be filtered out when creating the new model. Removing these points has improved the R-squared value from 0.82 to 0.8682.

cook <- cooks.distance(fit)

ggplot(data = NULL, aes(x = points, y = cook)) +
  geom_point()

cook_labels <- if_else(cook >= 0.1, paste(points), "")

ggplot(data = NULL, aes( x = points, y = cook)) +
  geom_point() +
  geom_text(aes(label = cook_labels), nudge_y = 0.02)

## Remove Potentially High Influence Points
outliers <-c(7,12)
filtered_df <- data_both %>%
  filter(!Rk.x %in% outliers)
fit2 <- lm(win_per ~ TS. + TOV + TRB + Age   , data = filtered_df)
tidy(fit2, conf.int = TRUE)
## # A tibble: 5 x 7
##   term         estimate std.error statistic      p.value  conf.low conf.high
##   <chr>           <dbl>     <dbl>     <dbl>        <dbl>     <dbl>     <dbl>
## 1 (Intercept) -369.      47.7         -7.74 0.0000000748 -468.     -270.    
## 2 TS.          427.     109.           3.93 0.000667      202.      652.    
## 3 TOV           -0.0436   0.0157      -2.78 0.0106         -0.0759   -0.0112
## 4 TRB            0.0357   0.00715      4.99 0.0000479       0.0209    0.0505
## 5 Age            3.73     1.26         2.95 0.00711         1.12      6.35
summary(fit2)
## 
## Call:
## lm(formula = win_per ~ TS. + TOV + TRB + Age, data = filtered_df)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -12.5413  -3.9485   0.6496   3.8068  10.2021 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -3.690e+02  4.766e+01  -7.743 7.48e-08 ***
## TS.          4.269e+02  1.086e+02   3.931 0.000667 ***
## TOV         -4.355e-02  1.566e-02  -2.781 0.010613 *  
## TRB          3.569e-02  7.155e-03   4.989 4.79e-05 ***
## Age          3.733e+00  1.263e+00   2.955 0.007108 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6.226 on 23 degrees of freedom
## Multiple R-squared:  0.8488, Adjusted R-squared:  0.8225 
## F-statistic: 32.28 on 4 and 23 DF,  p-value: 3.953e-09

Homoscedasticity

The plot does not show evidence of heteroscedasticity. It is considered to be Homoscedasiticity.

res <- residuals(fit2)
fitted <- predict(fit2)

ggplot( data = NULL, aes(x = fitted, y = res))+
  geom_point(colour = "dodgerblue")+
  geom_hline(yintercept = 0, colour = "red", linetype = "dashed")

#Normality ## The conducted histogram looks normal, which supports model normality.

ggplot(data = NULL, aes(x = res)) +
  geom_histogram(colour = "black", fill = "pink", binwidth = 4)

ggplot(data = NULL, aes(sample = res)) +
  stat_qq() + stat_qq_line()

#Multicollinearity ## All vif values are < 4, which supports the model to have no multicollinearity influencing the standard errors of the coefficients.

car::vif(fit2)
##      TS.      TOV      TRB      Age 
## 1.952931 1.100724 1.137471 1.888074

##Linearity

car::avPlots(fit2)

Compare

filtered_df <- mutate(filtered_df, exp_win = -369 + TS. * 426.9 + TOV * -0.04355 + TRB * 0.03569 + Age * 3.73282)

ggplot(data = filtered_df, aes(x = win_per, y = exp_win)) +
  geom_point()+
  geom_abline()

with(filtered_df, cor(x = win_per, y = exp_win))
## [1] 0.9213

Players

## combining player data and salaries

p <- read.csv("~/Desktop/Reproducible Projects/Data/Raw/2018-19_nba_player-statistics.csv")
ps <- read.csv("~/Desktop/Reproducible Projects/Data/Raw/2018-19_nba_player-salaries.csv")
pms <- left_join(p,ps, by = "player_name")

Handling missing data

complete(pms)
##                  player_name   Pos Age  Tm  G GS   MP  FG  FGA   FG. X3P X3PA
## 1               Alex Abrines    SG  25 OKC 31  2  588  56  157 0.357  41  127
## 2                 Quincy Acy    PF  28 PHO 10  0  123   4   18 0.222   2   15
## 3               Jaylen Adams    PG  22 ATL 34  1  428  38  110 0.345  25   74
## 4               Steven Adams     C  25 OKC 80 80 2669 481  809 0.595   0    2
## 5                Bam Adebayo     C  21 MIA 82 28 1913 280  486 0.576   3   15
## 6                  Deng Adel    SF  21 CLE 19  3  194  11   36 0.306   6   23
## 7     DeVaughn Akoon-Purcell    SG  25 DEN  7  0   22   3   10 0.300   0    4
## 8          LaMarcus Aldridge     C  33 SAS 81 81 2687 684 1319 0.519  10   42
## 9               Rawle Alkins    SG  21 CHI 10  1  120  13   39 0.333   3   12
## 10             Grayson Allen    SG  23 UTA 38  2  416  67  178 0.376  32   99
## 11             Jarrett Allen     C  20 BRK 80 80 2096 335  568 0.590   6   45
## 12              Kadeem Allen    SG  26 NYK 19  1  416  65  141 0.461  17   36
## 13           Al-Farouq Aminu    PF  28 POR 81 81 2292 257  593 0.433  96  280
## 14           Justin Anderson    SF  25 ATL 48  4  463  64  157 0.408  24   77
## 15             Kyle Anderson    SF  25 MEM 43 40 1281 150  276 0.543   9   34
## 16             Ryan Anderson    PF  30 MIA 10  0   44   2    9 0.222   2    6
## 17             Ryan Anderson    PF  30 PHO 15  8  278  19   60 0.317   7   34
## 18             Ryan Anderson    PF  30 TOT 25  8  322  21   69 0.304   9   40
## 19              Ike Anigbogu     C  20 IND  3  0    6   0    3 0.000   0    0
## 20     Giannis Antetokounmpo    PF  24 MIL 72 72 2358 721 1247 0.578  52  203
## 21      Kostas Antetokounmpo    PF  21 DAL  2  0   11   0    3 0.000   0    0
## 22           Carmelo Anthony    PF  34 HOU 10  2  294  49  121 0.405  21   64
## 23                OG Anunoby    SF  21 TOR 67  6 1352 183  404 0.453  67  202
## 24          Ryan Arcidiacono    PG  24 CHI 81 32 1961 187  418 0.447  81  217
## 25              Trevor Ariza    SF  33 PHO 26 26  884  86  227 0.379  50  139
## 26              Trevor Ariza    SF  33 WAS 43 43 1465 208  509 0.409  95  295
## 27              Trevor Ariza    SF  33 TOT 69 69 2349 294  736 0.399 145  434
## 28               DJ Augustin    PG  31 ORL 81 81 2269 318  677 0.470 131  311
## 29             Deandre Ayton     C  20 PHO 71 70 2183 509  870 0.585   0    4
## 30              Dwayne Bacon    SG  23 CHO 43 13  759 122  257 0.475  38   87
## 31             Marvin Bagley    PF  19 SAC 62  4 1567 356  706 0.504  30   96
## 32                 Ron Baker    SG  25 WAS  4  0   45   0    4 0.000   0    4
## 33                 Ron Baker    SG  25 TOT 15  0  152   4   20 0.200   1   13
## 34                 Ron Baker    SG  25 NYK 11  0  107   4   16 0.250   1    9
## 35              Wade Baldwin    PG  22 POR 16  0   94  10   33 0.303   2    9
## 36                Lonzo Ball    PG  21 LAL 47 45 1423 185  456 0.406  75  228
## 37                  Mo Bamba     C  20 ORL 47  1  766 117  243 0.481  21   70
## 38                  JJ Barea    PG  34 DAL 38  0  752 161  385 0.418  38  128
## 39           Harrison Barnes    SF  26 SAC 28 28  949 141  310 0.455  53  130
## 40           Harrison Barnes    PF  26 DAL 49 49 1584 290  717 0.404 121  311
## 41           Harrison Barnes PF-SF  26 TOT 77 77 2533 431 1027 0.420 174  441
## 42               Will Barton    SG  28 DEN 43 38 1189 185  460 0.402  67  196
## 43          Keita Bates-Diop    SF  23 MIN 30  3  503  60  142 0.423  13   52
## 44             Nicolas Batum    SF  30 CHO 75 72 2354 253  562 0.450 116  298
## 45            Jerryd Bayless    PG  30 MIN 34  6  657  82  230 0.357  29   98
## 46               Aron Baynes     C  32 BOS 51 18  821 105  223 0.471  21   61
## 47             Kent Bazemore    SG  29 ATL 67 35 1643 278  691 0.402  96  300
## 48              Bradley Beal    SG  25 WAS 82 82 3028 764 1609 0.475 209  596
## 49             Malik Beasley    SG  22 DEN 81 18 1879 349  737 0.474 163  405
## 50           Michael Beasley    PF  30 LAL 26  2  277  75  153 0.490   3   17
## 51           Marco Belinelli    SG  32 SAS 79  1 1815 285  690 0.413 147  395
## 52               Jordan Bell     C  24 GSW 68  3  788  99  192 0.516   0    2
## 53           DeAndre' Bembry    SG  24 ATL 82 15 1931 275  616 0.446  50  173
## 54             Dragan Bender    PF  21 PHO 46 27  826  88  197 0.447  22  101
## 55            Dairis Bertans    SG  29 NOP 12  0  167  12   47 0.255  10   34
## 56             Davis Bertans    PF  26 SAS 76 12 1632 204  453 0.450 145  338
## 57          Patrick Beverley    PG  30 LAC 78 49 2137 194  477 0.407 112  282
## 58                Khem Birch     C  26 ORL 50  1  643  91  151 0.603   0    1
## 59           Bismack Biyombo     C  26 CHO 54 32  783  89  156 0.571   0    0
## 60           Nemanja Bjelica    PF  30 SAC 77 70 1788 284  593 0.479 103  257
## 61          Antonio Blakeney    SG  22 CHI 57  3  829 166  396 0.419  36   91
## 62              Eric Bledsoe    PG  29 MIL 78 78 2272 470  971 0.484 124  377
## 63         Jaron Blossomgame    SF  25 CLE 27  4  439  47  106 0.443  10   39
## 64         Bogdan Bogdanovic    SG  26 SAC 70 17 1947 361  863 0.418 134  372
## 65          Bojan Bogdanovic    SF  29 IND 81 81 2573 522 1051 0.497 164  386
## 66              Andrew Bogut     C  34 GSW 11  5  134  18   36 0.500   0    0
## 67              Jonah Bolden    PF  23 PHI 44 10  639  80  162 0.494  34   96
## 68               Isaac Bonga    PG  19 LAL 22  0  120   5   33 0.152   0    8
## 69              Devin Booker    SG  22 PHO 64 64 2242 586 1255 0.467 135  414
## 70             Chris Boucher    PF  26 TOR 28  0  163  34   76 0.447  12   37
## 71             Avery Bradley    SG  28 MEM 14 14  442  87  188 0.463  28   73
## 72             Avery Bradley    SG  28 LAC 49 49 1463 161  420 0.383  58  172
## 73             Avery Bradley    SG  28 TOT 63 63 1905 248  608 0.408  86  245
## 74              Tony Bradley     C  21 UTA  3  0   36   8   16 0.500   0    0
## 75              Corey Brewer    SF  32 PHI  7  3  140  20   49 0.408   4   14
## 76              Corey Brewer    SF  32 SAC 24  0  352  33   74 0.446  10   30
## 77              Corey Brewer    SF  32 TOT 31  3  492  53  123 0.431  14   44
## 78             Mikal Bridges    SF  22 PHO 82 56 2417 242  563 0.430 105  313
## 79             Miles Bridges    SF  20 CHO 80 25 1696 237  511 0.464  65  200
## 80            Isaiah Briscoe    PG  22 ORL 39  0  559  55  138 0.399  11   34
## 81            Ryan Broekhoff    SG  28 DAL 42  0  453  57  126 0.452  38   93
## 82           Malcolm Brogdon    SG  26 MIL 64 64 1832 378  748 0.505 104  244
## 83             Dillon Brooks    SF  23 MEM 18  0  330  49  122 0.402  15   40
## 84            MarShon Brooks    SG  30 MEM 29  0  387  76  169 0.450  15   54
## 85               Bruce Brown    SG  22 DET 74 56 1449 125  314 0.398  24   93
## 86              Jaylen Brown    SG  22 BOS 74 25 1913 368  792 0.465  95  276
## 87             Lorenzo Brown    PG  28 TOR 26  0  212  23   71 0.324   6   28
## 88            Sterling Brown    SG  23 MIL 58  7 1034 145  312 0.465  53  147
## 89                Troy Brown    SF  19 WAS 52 10  730  97  234 0.415  22   69
## 90             Jalen Brunson    PG  22 DAL 73 38 1591 264  565 0.467  63  181
## 91             Thomas Bryant     C  21 WAS 72 53 1496 309  502 0.616  33   99
## 92            Reggie Bullock    SG  27 LAL 19 16  524  63  153 0.412  34   99
## 93            Reggie Bullock    SG  27 DET 44 44 1355 182  441 0.413 114  294
## 94            Reggie Bullock    SG  27 TOT 63 60 1879 245  594 0.412 148  393
## 95                Trey Burke    PG  26 DAL 25  1  436  88  190 0.463  26   73
## 96                Trey Burke    PG  26 NYK 33  7  689 148  358 0.413  30   86
## 97                Trey Burke    PG  26 TOT 58  8 1125 236  548 0.431  56  159
## 98                Alec Burks    SG  27 SAC 13  0  127   9   20 0.450   0    6
## 99                Alec Burks    SG  27 UTA 17  0  269  47  114 0.412  16   43
## 100               Alec Burks    SG  27 CLE 34 24  979 136  340 0.400  45  119
## 101               Alec Burks    SG  27 TOT 64 24 1375 192  474 0.405  61  168
## 102            Deonte Burton    SG  25 OKC 32  0  240  33   82 0.402   8   27
## 103             Jimmy Butler    SG  29 MIN 10 10  361  74  157 0.471  17   45
## 104             Jimmy Butler    SF  29 PHI 55 55 1824 344  747 0.461  50  148
## 105             Jimmy Butler SF-SG  29 TOT 65 65 2185 418  904 0.462  67  193
## 106            Bruno Caboclo    SF  23 MEM 34 19  800  96  225 0.427  48  130
## 107            Jose Calderon    PG  37 DET 49  0  632  45  120 0.375  14   57
## 108 Kentavious Caldwell-Pope    SG  25 LAL 82 23 2035 325  756 0.430 151  435
## 109            Isaiah Canaan    PG  27 MIL  4  0   31   2    6 0.333   2    5
## 110            Isaiah Canaan    PG  27 MIN  7  1   95  11   29 0.379   7   19
## 111            Isaiah Canaan    PG  27 PHO 19 15  503  51  129 0.395  25   72
## 112            Isaiah Canaan    PG  27 TOT 30 16  629  64  164 0.390  34   96
## 113             Clint Capela     C  24 HOU 67 67 2249 474  732 0.648   0    0
## 114          DeMarre Carroll    PF  32 BRK 67  8 1703 227  575 0.395 106  310
## 115             Jevon Carter    PG  23 MEM 39  3  577  56  185 0.303  34  102
## 116             Vince Carter    PF  42 ATL 76  9 1330 196  468 0.419 123  316
## 117           Wendell Carter     C  19 CHI 44 44 1110 180  371 0.485   6   32
## 118  Michael Carter-Williams    PG  27 ORL 12  0  227  21   62 0.339   3   19
## 119  Michael Carter-Williams    PG  27 HOU 16  1  145  25   61 0.410   7   19
## 120  Michael Carter-Williams    PG  27 TOT 28  1  372  46  123 0.374  10   38
## 121              Alex Caruso    PG  24 LAL 25  4  531  77  173 0.445  24   50
## 122              Omri Casspi    SF  30 MEM 36  0  520  86  161 0.534  15   43
## 123      Willie Cauley-Stein     C  25 SAC 81 81 2213 412  741 0.556   1    2
## 124             Troy Caupain    PG  23 ORL  4  0   16   4    8 0.500   2    3
## 125          Tyler Cavanaugh    PF  24 UTA 11  0   39   3   10 0.300   1    5
## 126           Tyson Chandler     C  36 PHO  7  0   89   8   12 0.667   0    0
## 127           Tyson Chandler     C  36 LAL 48  6  786  53   87 0.609   0    1
## 128           Tyson Chandler     C  36 TOT 55  6  875  61   99 0.616   0    1
## 129          Wilson Chandler    SF  31 LAC 15  1  226  23   66 0.348  13   40
## 130          Wilson Chandler    PF  31 PHI 36 32  951  91  207 0.440  46  118
## 131          Wilson Chandler PF-SF  31 TOT 51 33 1177 114  273 0.418  59  158
## 132              Joe Chealey    PG  23 CHO  1  0    8   1    3 0.333   0    0
## 133            Chris Chiozza    PG  23 HOU  7  0   33   2    8 0.250   2    5
## 134          Marquese Chriss    PF  21 HOU 16  0  104  11   34 0.324   1   15
## 135          Marquese Chriss    PF  21 CLE 27  2  395  56  146 0.384  15   57
## 136          Marquese Chriss    PF  21 TOT 43  2  499  67  180 0.372  16   72
## 137               Gary Clark    PF  24 HOU 51  2  641  50  151 0.331  41  138
## 138                Ian Clark    SG  27 NOP 60  6  973 151  383 0.394  66  202
## 139          Jordan Clarkson    SG  26 CLE 81  0 2214 529 1180 0.448 144  445
## 140             John Collins    PF  21 ATL 61 59 1829 465  831 0.560  55  158
## 141             Zach Collins     C  21 POR 77  0 1356 189  400 0.473  40  121
## 142          Darren Collison    PG  31 IND 76 76 2143 308  659 0.467  79  194
## 143            Bonzie Colson    SF  23 MIL  8  2   98  13   39 0.333   5   21
## 144              Mike Conley    PG  31 MEM 70 70 2342 490 1120 0.438 155  426
## 145          Pat Connaughton    SG  26 MIL 61  2 1261 163  350 0.466  66  200
## 146               Quinn Cook    PG  25 GSW 74 10 1059 204  439 0.465  81  200
## 147         DeMarcus Cousins     C  28 GSW 30 30  771 178  371 0.480  26   95
## 148         Robert Covington    SF  28 PHI 13 13  440  50  117 0.427  30   77
## 149         Robert Covington    SF  28 MIN 22 22  763 106  245 0.433  55  148
## 150         Robert Covington    SF  28 TOT 35 35 1203 156  362 0.431  85  225
## 151             Allen Crabbe    SG  26 BRK 43 20 1133 137  373 0.367  98  259
## 152             Torrey Craig    SF  28 DEN 75 37 1503 160  362 0.442  61  188
## 153           Jamal Crawford    SG  38 PHO 64  0 1211 174  438 0.397  67  202
## 154              Mitch Creek    SF  26 MIN  1  0   12   3    6 0.500   0    1
## 155              Mitch Creek    SF  26 BRK  4  0   36   5   10 0.500   0    1
## 156              Mitch Creek    SF  26 TOT  5  0   48   8   16 0.500   0    2
## 157              Jae Crowder    SF  28 UTA 80 11 2166 318  797 0.399 173  522
## 158         Dante Cunningham    PF  31 SAS 64 21  928  75  158 0.475  30   65
## 159               Seth Curry    SG  28 POR 74  2 1399 212  465 0.456 113  251
## 160            Stephen Curry    PG  30 GSW 69 69 2331 632 1340 0.472 354  810
## 161             Troy Daniels    SG  27 PHO 51  1  760 113  275 0.411  74  194
## 162            Anthony Davis     C  25 NOP 56 56 1850 530 1026 0.517  48  145
## 163            Deyonta Davis     C  22 ATL  9  0  118  15   22 0.682   0    1
## 164                 Ed Davis     C  29 BRK 81  1 1446 186  302 0.616   0    2
## 165              Tyler Davis     C  21 OKC  1  0    1   0    1 0.000   0    0
## 166           Dewayne Dedmon     C  29 ATL 64 52 1609 259  526 0.492  83  217
## 167               Sam Dekker    PF  24 CLE  9  5  169  22   48 0.458   5   13
## 168               Sam Dekker    PF  24 WAS 38  0  619  98  208 0.471  14   49
## 169               Sam Dekker    PF  24 TOT 47  5  788 120  256 0.469  19   62
## 170            Angel Delgado     C  24 LAC  2  0   15   1    5 0.200   0    0
## 171      Matthew Dellavedova    PG  28 MIL 12  0   97   6   19 0.316   4   11
## 172      Matthew Dellavedova    PG  28 CLE 36  0  715  92  223 0.413  40  119
## 173      Matthew Dellavedova    PG  28 TOT 48  0  812  98  242 0.405  44  130
## 174                Luol Deng    SF  33 MIN 22  2  392  59  118 0.500  14   44
## 175            DeMar DeRozan    SG  29 SAS 77 77 2688 631 1313 0.481   7   45
## 176        Marcus Derrickson    PF  22 GSW 11  0   67  16   33 0.485  10   20
## 177            Cheick Diallo    PF  22 NOP 64  1  896 168  271 0.620   1    4
## 178           Hamidou Diallo    SG  20 OKC 51  3  526  75  165 0.455   4   24
## 179             Gorgui Dieng     C  29 MIN 76  2 1031 189  377 0.501  19   56
## 180        Spencer Dinwiddie    PG  25 BRK 68  4 1914 366  828 0.442 124  370
## 181         Donte DiVincenzo    SG  22 MIL 27  0  411  50  124 0.403  22   83
## 182              Luka Doncic    SG  19 DAL 72 72 2318 506 1186 0.427 168  514
## 183             Tyler Dorsey    SG  22 ATL 27  0  251  32   89 0.360  10   39
## 184             Tyler Dorsey    SG  22 MEM 21 11  447  75  175 0.429  34   93
## 185             Tyler Dorsey    SG  22 TOT 48 11  698 107  264 0.405  44  132
## 186           Damyean Dotson    SG  24 NYK 73 40 2004 290  698 0.415 126  342
## 187                PJ Dozier    SG  22 BOS  6  0   51   8   21 0.381   2    8
## 188             Goran Dragic    PG  32 MIA 36 22  991 179  433 0.413  57  164
## 189           Andre Drummond     C  25 DET 79 79 2647 561 1052 0.533   5   38
## 190             Jared Dudley    PF  33 BRK 59 25 1220 101  239 0.423  53  151
## 191                Kris Dunn    PG  24 CHI 46 44 1389 215  506 0.425  34   96
## 192             Kevin Durant    SF  30 GSW 78 78 2702 721 1383 0.521 137  388
## 193             Trevon Duval    PG  20 MIL  3  0    6   2    3 0.667   1    1
## 194            Vince Edwards    SF  22 HOU  2  0   16   1    4 0.250   1    4
## 195           Henry Ellenson    PF  22 DET  2  0   25   4   10 0.400   2    4
## 196           Henry Ellenson    PF  22 NYK 17  0  234  35   85 0.412  15   34
## 197           Henry Ellenson    PF  22 TOT 19  0  259  39   95 0.411  17   38
## 198          Wayne Ellington    SG  31 MIA 25 12  533  69  184 0.375  57  155
## 199          Wayne Ellington    SG  31 DET 28 26  764 115  273 0.421  81  217
## 200          Wayne Ellington    SG  31 TOT 53 38 1297 184  457 0.403 138  372
## 201              Joel Embiid     C  24 PHI 64 64 2154 580 1199 0.484  79  263
## 202              James Ennis    SF  28 PHI 18  2  281  34   83 0.410  11   36
## 203              James Ennis    SF  28 HOU 40 25  949 104  211 0.493  44  120
## 204              James Ennis    SF  28 TOT 58 27 1230 138  294 0.469  55  156
## 205             Drew Eubanks    PF  21 SAS 23  0  113  15   26 0.577   0    0
## 206              Jacob Evans    SG  21 GSW 30  1  204  18   53 0.340   4   15
## 207              Jawun Evans    PG  22 OKC  1  0    1   0    1 0.000   0    1
## 208              Jawun Evans    PG  22 TOT  8  0   65   3   14 0.214   0    3
## 209              Jawun Evans    PG  22 PHO  7  0   64   3   13 0.231   0    2
## 210             Tyreke Evans    SG  29 IND 69 18 1402 257  660 0.389  77  216
## 211               Dante Exum    PG  23 UTA 42  1  664 101  241 0.419  18   62
## 212           Kenneth Faried     C  29 BRK 12  0  118  25   42 0.595   1    5
## 213           Kenneth Faried     C  29 HOU 25 13  610 131  223 0.587   7   20
## 214           Kenneth Faried     C  29 TOT 37 13  728 156  265 0.589   8   25
## 215           Derrick Favors     C  27 UTA 76 70 1766 363  619 0.586  17   78
## 216           Raymond Felton    PG  34 OKC 33  0  379  55  135 0.407  20   61
## 217        Cristiano Felicio     C  26 CHI 60  0  746  95  179 0.531   0    4
## 218        Terrance Ferguson    SG  20 OKC 74 74 1931 185  431 0.429 106  290
## 219             Yogi Ferrell    PG  25 SAC 71  3 1067 153  352 0.435  54  149
## 220      Dorian Finney-Smith    SF  25 DAL 81 26 1985 228  528 0.432  79  254
## 221              Bryn Forbes    SG  25 SAS 82 81 2293 361  791 0.456 176  413
## 222            Evan Fournier    SG  26 ORL 81 81 2553 468 1069 0.438 153  450
## 223             De'Aaron Fox    PG  21 SAC 81 81 2546 505 1102 0.458  86  232
## 224           Melvin Frazier    SG  22 ORL 10  0   44   7   21 0.333   0    6
## 225              Tim Frazier    PG  28 MIL 12  2  211  28   66 0.424  10   24
## 226              Tim Frazier    PG  28 NOP 47 17  909  88  195 0.451  27   77
## 227              Tim Frazier    PG  28 TOT 59 19 1120 116  261 0.444  37  101
## 228          Jimmer Fredette    SG  29 PHO  6  0   65   8   29 0.276   0   13
## 229            Channing Frye     C  35 CLE 36  6  341  43  117 0.368  32   79
## 230           Markelle Fultz    SG  20 PHI 19 15  427  65  155 0.419   4   14
## 231         Danilo Gallinari    SF  30 LAC 68 68 2059 409  884 0.463 161  372
## 232        Langston Galloway    SG  27 DET 80  4 1745 228  587 0.388 135  380
## 233            Billy Garrett    SG  24 NYK  4  0   63  11   27 0.407   0    8
## 234               Marc Gasol     C  34 TOR 26 19  648  87  187 0.465  23   52
## 235               Marc Gasol     C  34 MEM 53 53 1788 303  683 0.444  76  221
## 236               Marc Gasol     C  34 TOT 79 72 2436 390  870 0.448  99  273
## 237                Pau Gasol     C  38 MIL  3  0   30   1    6 0.167   1    3
## 238                Pau Gasol     C  38 SAS 27  6  330  41   88 0.466   5   10
## 239                Pau Gasol     C  38 TOT 30  6  360  42   94 0.447   6   13
## 240                 Rudy Gay    PF  32 SAS 69 51 1842 376  746 0.504  74  184
## 241              Paul George    SF  28 OKC 77 77 2841 707 1614 0.438 292  757
## 242               Taj Gibson    PF  33 MIN 70 57 1686 304  537 0.566  11   34
## 243              Harry Giles    PF  20 SAC 58  0  820 175  348 0.503   0    6
## 244  Shai Gilgeous-Alexander    PG  20 LAC 82 73 2174 341  716 0.476  51  139
## 245              Rudy Gobert     C  26 UTA 81 80 2577 476  712 0.669   0    0
## 246          Brandon Goodwin    PG  23 DEN 16  0   57   6   23 0.261   2    6
## 247             Aaron Gordon    PF  23 ORL 78 78 2633 470 1046 0.449 121  347
## 248              Eric Gordon    SG  30 HOU 68 53 2158 384  938 0.409 216  600
## 249            Marcin Gortat     C  34 LAC 47 43  751  99  186 0.532   0    0
## 250          Devonte' Graham    PG  23 CHO 46  3  676  74  216 0.343  34  121
## 251           Treveon Graham    SG  25 BRK 35 21  715  64  191 0.335  38  128
## 252             Jerami Grant    PF  24 OKC 80 77 2612 409  823 0.497 115  293
## 253             Jerian Grant    PG  26 ORL 60  1  939  92  220 0.418  40  110
## 254           Donte Grantham    SF  23 OKC  3  0    2   0    2 0.000   0    2
## 255              Danny Green    SG  31 TOR 80 80 2216 293  630 0.465 198  435
## 256           Draymond Green    PF  28 GSW 66 66 2065 188  422 0.445  47  165
## 257             Gerald Green    SG  33 HOU 73  0 1473 231  578 0.400 156  441
## 258           JaMychal Green    PF  28 LAC 24  2  471  79  164 0.482  33   80
## 259           JaMychal Green    PF  28 MEM 41  4  900 151  312 0.484  38   96
## 260           JaMychal Green    PF  28 TOT 65  6 1371 230  476 0.483  71  176
## 261               Jeff Green    PF  32 WAS 77 44 2097 326  687 0.475 111  320
## 262            Blake Griffin    PF  29 DET 75 75 2622 619 1341 0.462 189  522
## 263          Daniel Hamilton    SG  23 ATL 19  3  204  23   60 0.383   8   23
## 264            Dusty Hannahs    SG  25 MEM  2  0   26   3   12 0.250   0    5
## 265             Tim Hardaway    SG  26 DAL 19 17  558 108  267 0.404  45  140
## 266             Tim Hardaway    SG  26 NYK 46 46 1499 282  726 0.388 117  337
## 267             Tim Hardaway    SG  26 TOT 65 63 2057 390  993 0.393 162  477
## 268             James Harden    PG  29 HOU 78 78 2867 843 1909 0.442 378 1028
## 269         Maurice Harkless    SF  25 POR 60 53 1415 189  388 0.487  33  120
## 270         Montrezl Harrell     C  25 LAC 82  5 2158 546  888 0.615   3   17
## 271             Devin Harris    PG  35 DAL 68  2 1071 132  347 0.380  62  200
## 272              Gary Harris    SG  24 DEN 57 48 1639 270  637 0.424  82  242
## 273               Joe Harris    SG  27 BRK 76 76 2293 374  748 0.500 183  386
## 274            Tobias Harris    PF  26 PHI 27 27  944 187  399 0.469  44  135
## 275            Tobias Harris    PF  26 LAC 55 55 1903 424  855 0.496 112  258
## 276            Tobias Harris    PF  26 TOT 82 82 2847 611 1254 0.487 156  393
## 277          Andrew Harrison    PG  24 MEM  1  0    5   1    2 0.500   0    1
## 278          Andrew Harrison    PG  24 NOP  6  0   38   3   12 0.250   2   10
## 279          Andrew Harrison    PG  24 CLE 10  0  144  12   39 0.308   3   14
## 280          Andrew Harrison    PG  24 TOT 17  0  187  16   53 0.302   5   25
## 281       Shaquille Harrison    PG  25 CHI 73 11 1430 184  426 0.432  24   89
## 282                Josh Hart    SG  23 LAL 67 22 1715 189  464 0.407  92  274
## 283       Isaiah Hartenstein    PF  20 HOU 28  0  221  20   41 0.488   2    6
## 284            Udonis Haslem     C  38 MIA 10  1   74  11   33 0.333   0   12
## 285           Gordon Hayward    PF  28 BOS 72 18 1863 296  635 0.466  77  231
## 286              John Henson     C  28 MIL 14  0  188  31   67 0.463  11   31
## 287         Juan Hernangomez    PF  23 DEN 70 25 1358 138  314 0.439  66  181
## 288        Willy Hernangomez     C  24 CHO 58  3  812 153  295 0.519  15   39
## 289            Mario Hezonja    SF  23 NYK 58 24 1206 191  464 0.412  42  152
## 290             Isaiah Hicks    PF  24 NYK  3  0   32   4    8 0.500   0    0
## 291              Buddy Hield    SG  26 SAC 82 82 2615 623 1360 0.458 278  651
## 292        Haywood Highsmith    SF  22 PHI  5  0   40   4   10 0.400   1    5
## 293              George Hill    PG  32 CLE 13 13  344  55  107 0.514  13   28
## 294              George Hill    PG  32 MIL 47  0  958 115  269 0.428  35  125
## 295              George Hill    PG  32 TOT 60 13 1302 170  376 0.452  48  153
## 296             Solomon Hill    SF  27 NOP 44 15  878  68  178 0.382  32  101
## 297             Nene Hilario     C  36 HOU 42  2  546  60  116 0.517   0    3
## 298            Aaron Holiday    PG  22 IND 50  0  646 105  262 0.401  43  127
## 299             Jrue Holiday    SG  28 NOP 67 67 2402 547 1159 0.472 118  363
## 300           Justin Holiday    SG  29 MEM 44 39 1282 149  383 0.389  65  195
## 301           Justin Holiday    SG  29 CHI 38 38 1325 151  394 0.383  97  270
## 302           Justin Holiday    SG  29 TOT 82 77 2607 300  777 0.386 162  465
## 303             John Holland    SF  30 CLE  1  0    1   0    0    NA   0    0
## 304  Rondae Hollis-Jefferson    SF  24 BRK 59 21 1234 200  487 0.411   9   49
## 305           Richaun Holmes     C  25 PHO 70  4 1184 222  365 0.608   0    0
## 306              Rodney Hood    SG  26 POR 27  4  659  98  217 0.452  29   84
## 307              Rodney Hood    SG  26 CLE 45 45 1234 194  454 0.427  55  152
## 308              Rodney Hood    SG  26 TOT 72 49 1893 292  671 0.435  84  236
## 309               Al Horford     C  32 BOS 68 68 1973 387  723 0.535  73  203
## 310             Danuel House    SF  25 HOU 39 13  979 118  252 0.468  74  178
## 311            Dwight Howard     C  33 WAS  9  9  230  43   69 0.623   0    0
## 312            Kevin Huerter    SG  20 ATL 75 59 2048 275  657 0.419 136  353
## 313          Isaac Humphries     C  21 ATL  5  1   56   6   21 0.286   3   11
## 314                RJ Hunter    SG  25 BOS  1  0   26   6   13 0.462   4   10
## 315       Chandler Hutchison    SF  22 CHI 44 14  895  96  209 0.459  14   50
## 316              Serge Ibaka     C  29 TOR 74 51 2010 464  877 0.529  49  169
## 317           Andre Iguodala    SF  35 GSW 68 13 1578 151  302 0.500  48  144
## 318               Joe Ingles    PF  31 UTA 82 82 2568 359  802 0.448 189  483
## 319             Andre Ingram    SG  33 LAL  4  0   15   0    6 0.000   0    3
## 320           Brandon Ingram    SF  21 LAL 52 52 1760 362  729 0.497  31   94
## 321             Kyrie Irving    PG  26 BOS 67 67 2214 604 1241 0.487 174  434
## 322           Jonathan Isaac    PF  21 ORL 75 64 1996 262  611 0.429  86  266
## 323            Wesley Iwundu    SF  24 ORL 68 13 1233 113  274 0.412  29   79
## 324           Ersan Ilyasova    PF  31 MIL 67  7 1231 167  381 0.438  58  160
## 325        Demetrius Jackson    PG  24 PHI  6  0   39   8   15 0.533   2    6
## 326            Frank Jackson    PG  20 NOP 61 16 1169 194  447 0.434  53  169
## 327            Jaren Jackson    PF  19 MEM 58 56 1515 298  589 0.506  51  142
## 328             Josh Jackson    SG  21 PHO 79 29 1988 347  841 0.413  73  225
## 329           Justin Jackson    SF  23 DAL 29 11  531  92  190 0.484  32   86
## 330           Justin Jackson    SF  23 SAC 52  3 1083 125  295 0.424  55  159
## 331           Justin Jackson    SF  23 TOT 81 14 1614 217  485 0.447  87  245
## 332           Reggie Jackson    PG  28 DET 82 82 2289 441 1047 0.421 174  471
## 333             LeBron James    SF  34 LAL 55 55 1937 558 1095 0.510 111  327
## 334          Amile Jefferson    PF  25 ORL 12  0   68  10   16 0.625   0    0
## 335             John Jenkins    SG  27 WAS  4  0   14   2    2 1.000   2    2
## 336             John Jenkins    SG  27 NYK 22  0  319  40  103 0.388  20   56
## 337             John Jenkins    SG  27 TOT 26  0  333  42  105 0.400  22   58
## 338            Jonas Jerebko    PF  31 GSW 73  6 1218 163  355 0.459  69  188
## 339            Alize Johnson    PF  22 IND 14  0   64   4   16 0.250   1    2
## 340             Amir Johnson     C  31 PHI 51  6  529  79  157 0.503  12   40
## 341               BJ Johnson    SF  23 SAC  1  0    6   1    2 0.500   0    1
## 342               BJ Johnson    SF  23 ATL  6  0   43   8   16 0.500   3    6
## 343               BJ Johnson    SF  23 TOT  7  0   49   9   18 0.500   3    7
## 344            James Johnson    PF  31 MIA 55 33 1164 164  379 0.433  50  149
## 345          Stanley Johnson    SF  22 NOP 18  0  247  38   91 0.418  11   34
## 346          Stanley Johnson    SF  22 DET 48  7  961 133  349 0.381  51  181
## 347          Stanley Johnson    SF  22 TOT 66  7 1208 171  440 0.389  62  215
## 348            Tyler Johnson    PG  26 PHO 13 12  406  46  125 0.368  18   56
## 349            Tyler Johnson    PG  26 MIA 44 10 1123 171  401 0.426  72  204
## 350            Tyler Johnson    PG  26 TOT 57 22 1529 217  526 0.413  90  260
## 351           Wesley Johnson    SF  31 WAS 12  0  157  10   40 0.250   6   26
## 352           Wesley Johnson    SF  31 NOP 26 13  377  35   88 0.398  19   50
## 353           Wesley Johnson    SF  31 TOT 38 13  534  45  128 0.352  25   76
## 354             Nikola Jokic     C  23 DEN 80 80 2504 616 1206 0.511  83  270
## 355             Damian Jones     C  23 GSW 24 22  410  53   74 0.716   0    0
## 356            Derrick Jones    SF  21 MIA 60 14 1153 160  324 0.494  28   91
## 357              Jalen Jones    SF  25 CLE 16  0  214  26   62 0.419  10   28
## 358           Jemerrio Jones    SF  23 LAL  6  2  143  12   33 0.364   2   10
## 359           Terrence Jones    PF  27 HOU  2  0    5   1    4 0.250   0    2
## 360               Tyus Jones    PG  22 MIN 68 23 1560 185  446 0.415  40  126
## 361           DeAndre Jordan     C  30 NYK 19 19  493  78  123 0.634   0    0
## 362           DeAndre Jordan     C  30 DAL 50 50 1554 208  323 0.644   0    0
## 363           DeAndre Jordan     C  30 TOT 69 69 2047 286  446 0.641   0    0
## 364              Cory Joseph    PG  27 IND 82  9 2063 226  548 0.412  55  171
## 365           Frank Kaminsky     C  25 CHO 47  0  755 138  298 0.463  50  139
## 366              Enes Kanter     C  26 POR 23  8  512 124  215 0.577   3   12
## 367              Enes Kanter     C  26 NYK 44 23 1128 251  468 0.536   7   22
## 368              Enes Kanter     C  26 TOT 67 31 1640 375  683 0.549  10   34
## 369             Luke Kennard    SG  22 DET 63 10 1437 228  520 0.438 106  269
## 370   Michael Kidd-Gilchrist    PF  25 CHO 64  3 1179 158  332 0.476  16   47
## 371              George King    SF  25 PHO  1  0    6   0    0    NA   0    0
## 372              Maxi Kleber    PF  27 DAL 71 18 1502 175  386 0.453  77  218
## 373           Brandon Knight    PG  27 HOU 12  0  118  11   47 0.234   5   32
## 374           Brandon Knight    PG  27 CLE 27 26  618  88  213 0.413  36   97
## 375           Brandon Knight    PG  27 TOT 39 26  736  99  260 0.381  41  129
## 376               Kevin Knox    PF  19 NYK 75 57 2158 338  914 0.370 125  364
## 377           Furkan Korkmaz    SG  21 PHI 48  7  679  98  245 0.400  47  144
## 378              Luke Kornet    PF  23 NYK 46 18  784 107  283 0.378  70  193
## 379              Kyle Korver    PF  37 CLE 16  0  251  35   76 0.461  25   54
## 380              Kyle Korver    SG  37 UTA 54  0 1083 166  407 0.408 113  294
## 381              Kyle Korver SG-PF  37 TOT 70  0 1334 201  483 0.416 138  348
## 382             Kosta Koufos     C  29 SAC 42  1  502  73  153 0.477   0    0
## 383           Rodions Kurucs    SF  20 BRK 63 46 1294 202  449 0.450  58  184
## 384               Kyle Kuzma    PF  23 LAL 70 68 2314 496 1087 0.456 128  422
## 385          Skal Labissiere    PF  22 POR  9  1   63  13   19 0.684   2    2
## 386          Skal Labissiere    PF  22 SAC 13  0  113  13   30 0.433   4   11
## 387          Skal Labissiere    PF  22 TOT 22  1  176  26   49 0.531   6   13
## 388              Jeremy Lamb    SG  26 CHO 79 55 2250 431  979 0.440 115  330
## 389              Zach LaVine    SG  23 CHI 63 62 2171 530 1135 0.467 120  321
## 390              Jake Layman    SF  24 POR 71 33 1327 216  424 0.509  59  181
## 391                  TJ Leaf    PF  21 IND 58  1  522  99  183 0.541   8   31
## 392             Courtney Lee    SG  33 NYK 12  2  160  21   47 0.447   5   16
## 393             Courtney Lee    SG  33 DAL 22  4  268  32   82 0.390  11   39
## 394             Courtney Lee    SG  33 TOT 34  6  428  53  129 0.411  16   55
## 395               Damion Lee    SG  26 GSW 32  0  375  56  127 0.441  27   68
## 396               Walt Lemon    PG  26 CHI  6  3  167  38   87 0.437   2    5
## 397                 Alex Len     C  25 ATL 77 31 1544 320  648 0.494  74  204
## 398            Kawhi Leonard    SF  27 TOR 60 60 2040 560 1129 0.496 112  302
## 399           Meyers Leonard     C  26 POR 61  2  878 132  242 0.545  50  111
## 400                Jon Leuer    PF  29 DET 41  1  402  66  113 0.584   1   11
## 401             Caris LeVert    SF  24 BRK 40 25 1063 207  483 0.429  48  154
## 402           Damian Lillard    PG  28 POR 80 80 2838 681 1533 0.444 237  643
## 403               Jeremy Lin    PG  30 TOR 23  3  433  58  155 0.374  11   55
## 404               Jeremy Lin    PG  30 ATL 51  1 1003 180  386 0.466  44  132
## 405               Jeremy Lin    PG  30 TOT 74  4 1436 238  541 0.440  55  187
## 406         Shaun Livingston    PG  33 GSW 64  0  967 109  210 0.519   0    2
## 407              Zach Lofton    SG  26 DET  1  0    4   0    1 0.000   0    1
## 408             Kevon Looney     C  22 GSW 80 24 1481 217  347 0.625   1   10
## 409              Brook Lopez     C  30 MIL 81 81 2322 355  786 0.452 187  512
## 410              Robin Lopez     C  30 CHI 74 36 1606 304  535 0.568   7   31
## 411               Kevin Love    PF  30 CLE 22 21  598 109  283 0.385  53  147
## 412               Kyle Lowry    PG  32 TOR 65 65 2213 304  739 0.411 157  453
## 413              Jordan Loyd    PG  25 TOR 12  0   55   8   18 0.444   4    8
## 414              Kalin Lucas    PG  29 DET  1  0    6   0    1 0.000   0    1
## 415  Timothe Luwawu-Cabarrot    SF  23 OKC 21  1  123  13   43 0.302   5   22
## 416  Timothe Luwawu-Cabarrot    SF  23 CHI 29  6  546  69  175 0.394  31   94
## 417  Timothe Luwawu-Cabarrot    SF  23 TOT 50  7  669  82  218 0.376  36  116
## 418              Tyler Lydon    PF  22 DEN 25  0   94   9   18 0.500   4   10
## 419               Trey Lyles    PF  23 DEN 64  2 1120 207  495 0.418  51  200
## 420            Scott Machado    PG  28 LAL  4  0   19   4    6 0.667   1    1
## 421             Shelvin Mack    PG  28 CHO  4  0   42   2   14 0.143   0    2
## 422             Shelvin Mack    PG  28 MEM 53  3 1204 161  389 0.414  46  128
## 423             Shelvin Mack    PG  28 TOT 57  3 1246 163  403 0.404  46  130
## 424              Daryl Macon    SG  23 DAL  8  0   90  10   27 0.370   5   11
## 425                JP Macura    SG  23 CHO  2  0   17   3    9 0.333   0    4
## 426              Ian Mahinmi     C  32 WAS 34  6  498  47  104 0.452   3   16
## 427               Thon Maker    PF  21 DET 29  5  563  50  134 0.373  23   75
## 428               Thon Maker     C  21 MIL 35  0  409  59  134 0.440  26   78
## 429               Thon Maker  C-PF  21 TOT 64  5  972 109  268 0.407  49  153
## 430         Boban Marjanovic     C  30 PHI 22  3  305  75  120 0.625   4    8
## 431         Boban Marjanovic     C  30 LAC 36  9  376  85  140 0.607   0    2
## 432         Boban Marjanovic     C  30 TOT 58 12  681 160  260 0.615   4   10
## 433          Lauri Markkanen    PF  21 CHI 52 51 1682 342  795 0.430 120  332
## 434            Jarell Martin    PF  24 ORL 42  1  328  43  104 0.413  20   57
## 435              Frank Mason    PG  24 SAC 38  0  435  71  169 0.420  14   64
## 436              Yante Maten    PF  22 MIA  2  0   13   1    4 0.250   0    1
## 437          Wesley Matthews    SG  32 NYK  2  1   54   4   19 0.211   2   10
## 438          Wesley Matthews    SG  32 IND 23 23  725  81  210 0.386  48  130
## 439          Wesley Matthews    SF  32 DAL 44 44 1312 194  469 0.414 100  263
## 440          Wesley Matthews SF-SG  32 TOT 69 68 2091 279  698 0.400 150  403
## 441         Luc Mbah a Moute    PF  32 LAC  4  0   61   8   18 0.444   2    6
## 442           Tahjere McCall    SG  24 BRK  1  0    8   2    3 0.667   0    1
## 443            Patrick McCaw    SG  23 CLE  3  0   53   2    9 0.222   1    4
## 444            Patrick McCaw    SG  23 TOR 26  1  344  24   54 0.444   8   24
## 445            Patrick McCaw    SG  23 TOT 29  1  397  26   63 0.413   9   28
## 446              CJ McCollum    SG  27 POR 70 70 2375 571 1243 0.459 167  445
## 447             TJ McConnell    PG  26 PHI 76  3 1470 220  419 0.525  14   42
## 448           Doug McDermott    SF  27 IND 77  1 1340 207  422 0.491  84  206
## 449             JaVale McGee     C  31 LAL 75 62 1671 400  641 0.624   1   12
## 450          Rodney McGruder    SG  27 MIA 66 45 1550 186  461 0.403  79  225
## 451         Alfonzo McKinnie    SF  26 GSW 72  5 1003 134  275 0.487  42  118
## 452             Ben McLemore    SG  25 SAC 19  0  158  25   64 0.391  17   41
## 453             Jordan McRae    SG  27 WAS 27  0  333  61  130 0.469  10   35
## 454              Jodie Meeks    SG  31 TOR  8  0  104  21   39 0.538   8   18
## 455              Salah Mejri     C  32 DAL 36  4  399  55  112 0.491  11   34
## 456        De'Anthony Melton    PG  20 PHO 50 31  984 100  256 0.391  29   95
## 457            Chimezie Metu    PF  21 SAS 29  0  145  19   58 0.328   0    2
## 458          Khris Middleton    SF  27 MIL 77 77 2393 506 1148 0.441 179  474
## 459                 CJ Miles    SF  31 MEM 13  0  294  42  105 0.400  24   66
## 460                 CJ Miles    SF  31 TOR 40  1  562  70  206 0.340  43  137
## 461                 CJ Miles    SF  31 TOT 53  1  856 112  311 0.360  67  203
## 462            Darius Miller    SF  28 NOP 69 15 1757 189  484 0.390 133  364
## 463           Malcolm Miller    SF  25 TOR 10  0   67  11   26 0.423  10   21
## 464              Patty Mills    PG  30 SAS 82  1 1908 282  663 0.425 159  404
## 465             Paul Millsap    PF  33 DEN 70 65 1895 322  665 0.484  58  159
## 466             Shake Milton    SG  22 PHI 20  0  268  34   87 0.391  14   44
## 467           Nikola Mirotic    PF  27 MIL 14  3  320  56  135 0.415  31   87
## 468           Nikola Mirotic    PF  27 NOP 32 22  925 182  407 0.447  85  231
## 469           Nikola Mirotic    PF  27 TOT 46 25 1245 238  542 0.439 116  318
## 470         Donovan Mitchell    SG  22 UTA 77 77 2598 661 1530 0.432 188  519
## 471          Naz Mitrou-Long    SG  25 UTA 14  0   84   6   20 0.300   2   11
## 472               Malik Monk    SG  20 CHO 73  0 1258 227  586 0.387 109  330
## 473              Greg Monroe     C  28 BOS  2  0    5   3    5 0.600   0    0
## 474              Greg Monroe     C  28 PHI  3  0   52  15   23 0.652   1    1
## 475              Greg Monroe     C  28 TOR 38  2  423  74  161 0.460   0    4
## 476              Greg Monroe     C  28 TOT 43  2  480  92  189 0.487   1    5
## 477            E'Twaun Moore    SG  29 NOP 53 36 1463 256  532 0.481  76  176
## 478            Eric Moreland    PF  27 PHO  1  0    5   0    0    NA   0    0
## 479            Eric Moreland    PF  27 TOT  5  0   43   3    7 0.429   1    1
## 480            Eric Moreland    PF  27 TOR  4  0   38   3    7 0.429   1    1
## 481            Jaylen Morris    SG  23 MIL  4  0   29   4   10 0.400   1    3
## 482            Marcus Morris    PF  29 BOS 75 53 2091 377  844 0.447 146  389
## 483          Markieff Morris    PF  29 OKC 24  1  387  61  156 0.391  20   59
## 484          Markieff Morris    PF  29 WAS 34 15  883 143  328 0.436  48  144
## 485          Markieff Morris    PF  29 TOT 58 16 1270 204  484 0.421  68  203
## 486             Monte Morris    PG  23 DEN 82  6 1970 346  702 0.493  94  227
## 487       Donatas Motiejunas    PF  28 SAS  3  0   13   3    6 0.500   0    0
## 488         Johnathan Motley    PF  23 LAC 22  0  156  39   73 0.534   0    3
## 489          Emmanuel Mudiay    PG  22 NYK 59 42 1607 330  740 0.446  69  210
## 490             Jamal Murray    PG  21 DEN 75 74 2447 513 1173 0.437 152  414
## 491              Dzanan Musa    SG  19 BRK  9  0   39   9   22 0.409   1   10
## 492             Mike Muscala    PF  27 LAL 17  4  265  36   83 0.434  21   57
## 493             Mike Muscala    PF  27 PHI 47  6 1041 109  278 0.392  68  199
## 494             Mike Muscala    PF  27 TOT 64 10 1306 145  361 0.402  89  256
## 495    Sviatoslav Mykhailiuk    SF  21 DET  3  0   20   2    8 0.250   2    4
## 496    Sviatoslav Mykhailiuk    SF  21 LAL 39  0  420  44  132 0.333  27   85
## 497    Sviatoslav Mykhailiuk    SF  21 TOT 42  0  440  46  140 0.329  29   89
## 498              Abdel Nader    SF  25 OKC 61  1  694  91  215 0.423  32  100
## 499              Larry Nance     C  26 CLE 67 30 1795 249  479 0.520  33   98
## 500           Shabazz Napier    PG  27 BRK 56  2  983 169  435 0.389  76  228
## 501                Raul Neto    PG  26 UTA 37  1  474  74  161 0.460  20   60
## 502            Georges Niang    PF  25 UTA 59  0  516  86  181 0.475  43  105
## 503              Joakim Noah     C  33 MEM 42  1  693 110  213 0.516   0    1
## 504             Nerlens Noel     C  24 OKC 77  2 1055 162  276 0.587   0    0
## 505            Dirk Nowitzki    PF  40 DAL 51 20  795 135  376 0.359  64  205
## 506          Frank Ntilikina    PG  20 NYK 43 16  904  95  282 0.337  33  115
## 507           James Nunnally    SF  28 HOU  2  0   38   3   13 0.231   3   12
## 508           James Nunnally    SF  28 MIN 13  0   64   9   21 0.429   5   13
## 509           James Nunnally    SF  28 TOT 15  0  102  12   34 0.353   8   25
## 510             Jusuf Nurkic     C  24 POR 72 72 1974 420  826 0.508   3   29
## 511              David Nwaba    SG  26 CLE 51 14  984 126  262 0.481  24   75
## 512            Royce O'Neale    SF  25 UTA 82 16 1671 163  343 0.475  68  176
## 513             Kyle O'Quinn     C  28 IND 45  3  371  69  136 0.507   1   12
## 514             Semi Ojeleye    PF  24 BOS 56  3  594  67  158 0.424  28   89
## 515            Jahlil Okafor     C  23 NOP 59 24  935 212  362 0.586   1    5
## 516               Elie Okobo    PG  21 PHO 53 16  958 114  290 0.393  39  132
## 517              Josh Okogie    SG  20 MIN 74 52 1757 196  508 0.386  60  215
## 518           Victor Oladipo    SG  26 IND 36 36 1147 249  588 0.423  74  216
## 519             Kelly Olynyk    PF  27 MIA 79 36 1812 261  564 0.463 113  319
## 520               Cedi Osman    SF  23 CLE 76 75 2444 360  844 0.427 130  374
## 521              Kelly Oubre    SF  23 WAS 29  7  755 132  305 0.433  41  132
## 522              Kelly Oubre    SF  23 PHO 40 12 1180 243  537 0.453  67  206
## 523              Kelly Oubre    SF  23 TOT 69 19 1935 375  842 0.445 108  338
## 524            Zaza Pachulia     C  34 DET 68  3  878  85  193 0.440   0    4
## 525            Jabari Parker    PF  23 WAS 25  0  682 149  285 0.523  24   81
## 526            Jabari Parker    PF  23 CHI 39 17 1042 220  464 0.474  37  114
## 527            Jabari Parker    PF  23 TOT 64 17 1724 369  749 0.493  61  195
## 528              Tony Parker    PG  36 CHO 56  0 1003 213  463 0.460  13   51
## 529         Chandler Parsons    SF  30 MEM 25  3  496  68  182 0.374  29   94
## 530        Patrick Patterson    PF  29 OKC 63  5  861  82  219 0.374  46  137
## 531            Justin Patton     C  21 PHI  3  0   21   2    7 0.286   0    2
## 532               Chris Paul    PG  33 HOU 58 58 1857 302  720 0.419 127  355
## 533            Cameron Payne    PG  24 CLE  9  1  176  27   55 0.491   9   25
## 534            Cameron Payne    PG  24 CHI 31 12  536  69  168 0.411  16   59
## 535            Cameron Payne    PG  24 TOT 40 13  712  96  223 0.430  25   84
## 536            Elfrid Payton    PG  24 NOP 42 42 1250 179  412 0.434  33  105
## 537              Gary Payton    PG  26 WAS  3  0   16   5    8 0.625   1    2
## 538              Theo Pinson    SG  23 BRK 18  0  211  25   73 0.342  12   46
## 539            Mason Plumlee     C  28 DEN 82 17 1731 262  442 0.593   2   10
## 540            Miles Plumlee     C  30 ATL 18  0  173  32   48 0.667   0    0
## 541         Quincy Pondexter    SF  30 SAS 53  0  292  29   58 0.500   6   18
## 542              Otto Porter    SF  25 CHI 15 15  492  97  201 0.483  39   80
## 543              Otto Porter    SF  25 WAS 41 28 1191 202  442 0.457  65  176
## 544              Otto Porter    SF  25 TOT 56 43 1683 299  643 0.465 104  256
## 545             Bobby Portis    PF  23 CHI 22  6  531 122  271 0.450  27   72
## 546             Bobby Portis    PF  23 WAS 28 22  768 157  357 0.440  48  119
## 547             Bobby Portis    PF  23 TOT 50 28 1299 279  628 0.444  75  191
## 548            Dwight Powell     C  27 DAL 77 22 1662 290  486 0.597  39  127
## 549            Norman Powell    SG  25 TOR 60  3 1126 193  400 0.483  68  170
## 550           Alex Poythress    PF  25 ATL 21  1  305  40   81 0.494   9   23
## 551              Jakob Poltl     C  23 SAS 77 24 1273 187  290 0.645   0    0
## 552                  Zhou Qi    PF  23 HOU  1  0    1   1    1 1.000   0    0
## 553                Ivan Rabb    PF  21 MEM 49 13  721 116  212 0.547   3   15
## 554           Chasson Randle    PG  25 WAS 49  2  743  91  217 0.419  46  115
## 555            Julius Randle    PF  24 NOP 73 49 2232 571 1089 0.524  67  195
## 556                JJ Redick    SG  34 PHI 76 63 2379 452 1027 0.440 240  605
## 557               Davon Reed    SG  23 IND 10  0   47   5   12 0.417   2    4
## 558         Cameron Reynolds    SG  23 MIN 19  0  259  33   78 0.423  21   51
## 559          Josh Richardson    SG  25 MIA 73 73 2539 423 1026 0.412 164  460
## 560       Malachi Richardson    SG  23 TOR 22  0  103   9   29 0.310   8   25
## 561            Austin Rivers    SG  26 WAS 29  2  683  76  194 0.392  33  106
## 562            Austin Rivers    SG  26 HOU 47 13 1345 156  378 0.413  71  221
## 563            Austin Rivers    SG  26 TOT 76 15 2028 232  572 0.406 104  327
## 564           Devin Robinson    SF  23 WAS  7  0   95  19   32 0.594   0    2
## 565          Duncan Robinson    PF  24 MIA 15  1  161  18   46 0.391  10   35
## 566           Glenn Robinson    SF  25 DET 47 18  610  74  176 0.420  18   62
## 567          Jerome Robinson    SG  21 LAC 33  0  320  44  110 0.400  18   57
## 568        Mitchell Robinson     C  20 NYK 66 19 1360 202  291 0.694   0    0
## 569              Rajon Rondo    PG  32 LAL 46 29 1369 175  432 0.405  51  142
## 570             Derrick Rose    PG  30 MIN 51 13 1392 363  753 0.482  54  146
## 571            Terrence Ross    SG  27 ORL 81  0 2150 440 1027 0.428 217  566
## 572             Terry Rozier    PG  24 BOS 79 14 1791 258  666 0.387 119  337
## 573              Ricky Rubio    PG  28 UTA 68 67 1899 295  730 0.404  79  254
## 574         D'Angelo Russell    PG  22 BRK 81 81 2448 659 1517 0.434 234  635
## 575         Domantas Sabonis     C  22 IND 74  5 1838 413  700 0.590   9   17
## 576          Brandon Sampson    SG  21 CHI 14  2  214  28   60 0.467  11   29
## 577           JaKarr Sampson    SF  25 CHI  4  0  127  29   54 0.537   5   14
## 578         Tomas Satoransky    PG  27 WAS 80 54 2164 257  530 0.485  64  162
## 579          Dennis Schroder    PG  25 OKC 79 14 2314 457 1104 0.414 124  364
## 580               Mike Scott    PF  30 PHI 27  3  647  76  190 0.400  49  119
## 581               Mike Scott    PF  30 LAC 52  0  748  92  230 0.400  52  133
## 582               Mike Scott    PF  30 TOT 79  3 1395 168  420 0.400 101  252
## 583          Thabo Sefolosha    SF  34 UTA 50  2  609  71  149 0.477  34   78
## 584             Wayne Selden    SG  24 MEM 32  0  455  65  161 0.404  20   63
## 585             Wayne Selden    SG  24 CHI 43 13  984 131  322 0.407  35  111
## 586             Wayne Selden    SG  24 TOT 75 13 1439 196  483 0.406  55  174
## 587            Collin Sexton    PG  20 CLE 82 72 2605 519 1206 0.430 119  296
## 588            Landry Shamet    SG  21 LAC 25 23  694  87  210 0.414  68  151
## 589            Landry Shamet    SG  21 PHI 54  4 1108 153  347 0.441  99  245
## 590            Landry Shamet    SG  21 TOT 79 27 1802 240  557 0.431 167  396
## 591            Iman Shumpert    SG  28 HOU 20  1  382  34   98 0.347  21   71
## 592            Iman Shumpert    SG  28 SAC 42 40 1099 133  348 0.382  74  202
## 593            Iman Shumpert    SG  28 TOT 62 41 1481 167  446 0.374  95  273
## 594            Pascal Siakam    PF  24 TOR 80 79 2548 519  945 0.549  79  214
## 595            Jordan Sibert    SG  26 ATL  1  0    4   1    1 1.000   1    1
## 596              Ben Simmons    PG  22 PHI 79 79 2700 540  960 0.563   0    6
## 597         Jonathon Simmons    SF  29 PHI 15  0  219  29   64 0.453   9   21
## 598         Jonathon Simmons    SG  29 ORL 41  9  845 104  286 0.364  19   83
## 599         Jonathon Simmons SG-SF  29 TOT 56  9 1064 133  350 0.380  28  104
## 600             Kobi Simmons    PG  21 CLE  1  0    2   0    0    NA   0    0
## 601          Anfernee Simons    SG  19 POR 20  1  141  28   63 0.444  10   29
## 602             Marcus Smart    SG  24 BOS 80 60 2200 239  567 0.422 126  346
## 603             Dennis Smith    PG  21 NYK 21 18  600 121  293 0.413  24   83
## 604             Dennis Smith    PG  21 DAL 32 32  908 157  357 0.440  43  125
## 605             Dennis Smith    PG  21 TOT 53 50 1508 278  650 0.428  67  208
## 606                Ish Smith    PG  30 DET 56  0 1251 205  489 0.419  44  135
## 607                 JR Smith    SG  33 CLE 11  4  222  27   79 0.342  12   39
## 608              Jason Smith     C  32 NOP  2  0   20   2    9 0.222   2    7
## 609              Jason Smith    PF  32 MIL  6  0   40   4   13 0.308   3    9
## 610              Jason Smith     C  32 WAS 12  1  130  15   37 0.405   4   10
## 611              Jason Smith  PF-C  32 TOT 20  1  190  21   59 0.356   9   26
## 612             Zhaire Smith    SG  19 PHI  6  2  111  14   34 0.412   6   16
## 613               Tony Snell    SF  27 MIL 74 12 1304 163  361 0.452  81  204
## 614             Ray Spalding    PF  21 DAL  1  0    1   0    0    NA   0    0
## 615             Ray Spalding    PF  21 TOT 14  3  148  25   47 0.532   0    3
## 616             Ray Spalding    PF  21 PHO 13  3  147  25   47 0.532   0    3
## 617           Omari Spellman    PF  21 ATL 46 11  805  98  244 0.402  44  128
## 618             Nik Stauskas    SG  25 CLE 24  0  342  40  109 0.367  27   63
## 619             Nik Stauskas    SG  25 POR 44  0  673  96  229 0.419  43  125
## 620             Nik Stauskas    SG  25 TOT 68  0 1015 136  338 0.402  70  188
## 621              DJ Stephens    SG  28 MEM  1  0    7   1    2 0.500   0    0
## 622         Lance Stephenson    SG  28 LAL 68  3 1123 184  432 0.426  73  197
## 623            Edmond Sumner    PG  23 IND 23  2  210  22   64 0.344   7   27
## 624           Caleb Swanigan    PF  21 SAC  3  0   33   4    9 0.444   0    2
## 625           Caleb Swanigan    PF  21 POR 18  0  145  14   44 0.318   1    5
## 626           Caleb Swanigan    PF  21 TOT 21  0  178  18   53 0.340   1    7
## 627             Jayson Tatum    SF  20 BOS 79 79 2455 466 1036 0.450 116  311
## 628              Jeff Teague    PG  30 MIN 42 41 1264 176  416 0.423  35  105
## 629           Garrett Temple    SG  32 LAC 26  6  510  42  106 0.396  16   54
## 630           Garrett Temple    SG  32 MEM 49 49 1530 166  387 0.429  74  210
## 631           Garrett Temple    SG  32 TOT 75 55 2040 208  493 0.422  90  264
## 632           Milos Teodosic    PG  31 LAC 15  0  150  17   40 0.425  10   27
## 633            Jared Terrell    SG  23 MIN 14  0  111  12   39 0.308   4   17
## 634            Emanuel Terry    PF  22 MIA  1  0    3   0    1 0.000   0    0
## 635            Emanuel Terry    PF  22 PHO  2  0   20   4    6 0.667   0    0
## 636            Emanuel Terry    PF  22 TOT  3  0   23   4    7 0.571   0    0
## 637             Daniel Theis     C  26 BOS 66  2  908 146  266 0.549  26   67
## 638            Isaiah Thomas    SG  29 DEN 12  0  181  34   99 0.343  12   43
## 639             Khyri Thomas    SG  22 DET 26  0  195  22   69 0.319  10   35
## 640             Lance Thomas    PF  30 NYK 46 17  783  78  197 0.396  22   79
## 641            Klay Thompson    SG  28 GSW 78 78 2652 655 1402 0.467 241  599
## 642         Tristan Thompson     C  27 CLE 43 40 1198 201  380 0.529   0    0
## 643      Sindarius Thornwell    SG  24 LAC 64  1  313  17   49 0.347   3   15
## 644         Anthony Tolliver    PF  33 MIN 65  0 1079  99  259 0.382  81  215
## 645       Karl-Anthony Towns     C  23 MIN 77 77 2545 681 1314 0.518 142  355
## 646               Gary Trent    SG  20 POR 15  1  111  16   50 0.320   5   21
## 647            Allonzo Trier    SG  23 NYK 64  3 1459 232  518 0.448  52  132
## 648                PJ Tucker    PF  33 HOU 82 82 2802 207  523 0.396 146  387
## 649              Evan Turner    PG  30 POR 73  2 1605 204  443 0.460  11   52
## 650             Myles Turner     C  22 IND 74 74 2119 380  780 0.487  76  196
## 651                Ekpe Udoh     C  31 UTA 51  1  320  50   72 0.694   0    0
## 652               Tyler Ulis    PG  23 CHI  1  0    1   0    0    NA   0    0
## 653        Jonas Valanciunas     C  26 MEM 19 17  527 152  279 0.545   5   18
## 654        Jonas Valanciunas     C  26 TOR 30 10  564 149  259 0.575   9   30
## 655        Jonas Valanciunas     C  26 TOT 49 27 1091 301  538 0.559  14   48
## 656        Jarred Vanderbilt    PF  19 DEN 17  0   69   9   19 0.474   0    1
## 657            Fred VanVleet    PG  24 TOR 64 28 1760 246  600 0.410 112  296
## 658              Noah Vonleh    PF  23 NYK 68 57 1722 207  440 0.470  46  137
## 659           Nikola Vucevic     C  28 ORL 80 80 2510 701 1354 0.518  84  231
## 660              Dwyane Wade    SG  37 MIA 72  2 1885 416  960 0.433  86  261
## 661            Moritz Wagner     C  21 LAL 43  5  446  71  171 0.415  22   77
## 662             Dion Waiters    SG  27 MIA 44 28 1138 198  478 0.414 109  289
## 663             Kemba Walker    PG  28 CHO 82 82 2863 731 1684 0.434 260  731
## 664            Lonnie Walker    SG  20 SAS 17  0  118  16   46 0.348   5   13
## 665                John Wall    PG  28 WAS 32 32 1104 245  552 0.444  51  169
## 666           Tyrone Wallace    PG  24 LAC 62  0  628  92  217 0.424   4   19
## 667    Taurean Waller-Prince    SF  24 ATL 55 47 1552 262  594 0.441 123  315
## 668           Brad Wanamaker    PG  29 BOS 36  0  343  50  105 0.476  16   39
## 669                TJ Warren    SF  25 PHO 43 36 1360 297  611 0.486  77  180
## 670          Julian Washburn    SF  27 MEM 18  3  254  16   48 0.333   5   24
## 671            Yuta Watanabe    SF  24 MEM 15  0  174  15   51 0.294   2   16
## 672             Thomas Welsh     C  22 DEN 11  0   36   7   13 0.538   3    7
## 673        Russell Westbrook    PG  30 OKC 73 73 2630 630 1473 0.428 119  411
## 674            Derrick White    PG  24 SAS 67 55 1728 260  543 0.479  48  142
## 675              Okaro White    PF  26 WAS  3  0    6   0    2 0.000   0    2
## 676         Hassan Whiteside     C  29 MIA 72 53 1674 388  680 0.571   2   16
## 677           Andrew Wiggins    SF  23 MIN 73 73 2543 498 1209 0.412 118  348
## 678            Alan Williams    PF  26 BRK  5  0   26   8   13 0.615   0    1
## 679              CJ Williams    SG  28 MIN 15  0  128  17   35 0.486   5   16
## 680       Johnathan Williams     C  23 LAL 24  0  372  65  110 0.591   0    2
## 681         Kenrich Williams    SF  24 NOP 46 29 1079 107  279 0.384  52  156
## 682             Lou Williams    SG  32 LAC 75  1 1993 484 1138 0.425 105  291
## 683          Marvin Williams    PF  32 CHO 75 75 2133 275  652 0.422 140  382
## 684          Robert Williams     C  21 BOS 32  2  283  36   51 0.706   0    0
## 685            Troy Williams    SF  24 SAC 21  0  312  44   98 0.449  14   44
## 686                DJ Wilson    PF  22 MIL 48  3  882 104  251 0.414  46  127
## 687          Justise Winslow    SF  22 MIA 66 52 1959 324  749 0.433  96  256
## 688           Christian Wood    PF  23 MIL 13  0   62  12   25 0.480   3    5
## 689           Christian Wood    PF  23 NOP  8  2  189  49   92 0.533   6   21
## 690           Christian Wood    PF  23 TOT 21  2  251  61  117 0.521   9   26
## 691             Delon Wright    PG  26 MEM 26 11  802 115  265 0.434  20   78
## 692             Delon Wright    PG  26 TOR 49  2  897 127  293 0.433  30   90
## 693             Delon Wright    PG  26 TOT 75 13 1699 242  558 0.434  50  168
## 694       Guerschon Yabusele    PF  23 BOS 41  1  251  35   77 0.455   9   28
## 695               Nick Young    SG  33 DEN  4  0   37   3    9 0.333   3    8
## 696           Thaddeus Young    PF  30 IND 81 81 2489 443  841 0.527  51  146
## 697               Trae Young    PG  20 ATL 81 81 2503 525 1256 0.418 156  482
## 698              Cody Zeller     C  26 CHO 49 47 1243 190  345 0.551   6   22
## 699             Tyler Zeller     C  29 ATL  2  0   11   0    2 0.000   0    1
## 700             Tyler Zeller     C  29 TOT  6  1   93  16   30 0.533   0    1
## 701             Tyler Zeller     C  29 MEM  4  1   82  16   28 0.571   0    0
## 702              Ivica Zubac     C  21 LAC 26 25  524 100  186 0.538   0    0
## 703              Ivica Zubac     C  21 LAL 33 12  516 112  193 0.580   0    0
## 704              Ivica Zubac     C  21 TOT 59 37 1040 212  379 0.559   0    0
## 705              Dario Saric    PF  24 PHI 13 13  396  48  132 0.364  21   70
## 706              Dario Saric    PF  24 MIN 68 28 1627 256  564 0.454  97  253
## 707              Dario Saric    PF  24 TOT 81 41 2023 304  696 0.437 118  323
## 708               Ante Zizic     C  22 CLE 59 25 1082 183  331 0.553   0    0
##      X3P. X2P X2PA  X2P.  eFG.  FT FTA   FT. ORB DRB  TRB AST STL BLK TOV  PF
## 1   0.323  15   30 0.500 0.487  12  13 0.923   5  43   48  20  17   6  14  53
## 2   0.133   2    3 0.667 0.278   7  10 0.700   3  22   25   8   1   4   4  24
## 3   0.338  13   36 0.361 0.459   7   9 0.778  11  49   60  65  14   5  28  45
## 4   0.000 481  807 0.596 0.595 146 292 0.500 391 369  760 124 117  76 135 204
## 5   0.200 277  471 0.588 0.579 166 226 0.735 165 432  597 184  71  65 121 203
## 6   0.261   5   13 0.385 0.389   4   4 1.000   3  16   19   5   1   4   6  13
## 7   0.000   3    6 0.500 0.300   1   2 0.500   1   3    4   6   2   0   2   4
## 8   0.238 674 1277 0.528 0.522 349 412 0.847 251 493  744 194  43 107 144 179
## 9   0.250  10   27 0.370 0.372   8  12 0.667  11  15   26  13   1   0   8   7
## 10  0.323  35   79 0.443 0.466  45  60 0.750   3  20   23  25   6   6  33  47
## 11  0.133 329  523 0.629 0.595 197 278 0.709 191 481  672 110  43 120 103 184
## 12  0.472  48  105 0.457 0.521  42  54 0.778   8  43   51  76  16   4  26  46
## 13  0.343 161  313 0.514 0.514 150 173 0.867 112 498  610 104  68  33  72 143
## 14  0.312  40   80 0.500 0.484  26  35 0.743  24  60   84  23  22  13  23  48
## 15  0.265 141  242 0.583 0.560  37  64 0.578  48 203  251 128  54  37  58 112
## 16  0.333   0    3 0.000 0.333   1   2 0.500   4   5    9   2   1   0   2   2
## 17  0.206  12   26 0.462 0.375  11  14 0.786  14  31   45  17   3   1  12  23
## 18  0.225  12   29 0.414 0.370  12  16 0.750  18  36   54  19   4   1  14  25
## 19     NA   0    3 0.000 0.000   0   0    NA   1   2    3   1   0   1   1   0
## 20  0.256 669 1044 0.641 0.599 500 686 0.729 159 739  898 424  92 110 268 232
## 21     NA   0    3 0.000 0.000   2   4 0.500   0   1    1   0   2   0   1   0
## 22  0.328  28   57 0.491 0.492  15  22 0.682   9  45   54   5   4   7   8  32
## 23  0.332 116  202 0.574 0.536  36  62 0.581  58 139  197  47  46  22  55 140
## 24  0.373 106  201 0.527 0.544  89 102 0.873  27 192  219 269  65   4  63 171
## 25  0.360  36   88 0.409 0.489  36  43 0.837  16 129  145  87  38   8  39  44
## 26  0.322 113  214 0.528 0.502  94 121 0.777  34 192  226 165  53  13  67  86
## 27  0.334 149  302 0.493 0.498 130 164 0.793  50 321  371 252  91  21 106 130
## 28  0.421 187  366 0.511 0.566 181 209 0.866  41 162  203 426  52   4 128 115
## 29  0.000 509  866 0.588 0.585 141 189 0.746 223 506  729 125  61  67 126 209
## 30  0.437  84  170 0.494 0.549  34  46 0.739   8  81   89  47  12   5  18  72
## 31  0.313 326  610 0.534 0.525 181 262 0.691 162 309  471  62  33  59  98 120
## 32  0.000   0    0    NA 0.000   0   0    NA   0   4    4   2   1   1   2   2
## 33  0.077   3    7 0.429 0.225   5   6 0.833   1  10   11  15   6   1   5  18
## 34  0.111   3    7 0.429 0.281   5   6 0.833   1   6    7  13   5   0   3  16
## 35  0.222   8   24 0.333 0.333   8  11 0.727   2  13   15  12   1   2  14  11
## 36  0.329 110  228 0.482 0.488  20  48 0.417  54 197  251 255  69  19 103 114
## 37  0.300  96  173 0.555 0.525  37  63 0.587  64 169  233  39  13  64  43 102
## 38  0.297 123  257 0.479 0.468  55  78 0.705  13  82   95 211  22   1  72  50
## 39  0.408  88  180 0.489 0.540  64  80 0.800  21 133  154  53  17   2  30  43
## 40  0.389 169  406 0.416 0.489 165 198 0.833  36 171  207  62  33  11  68  79
## 41  0.395 257  586 0.439 0.504 229 278 0.824  57 304  361 115  50  13  98 122
## 42  0.342 118  264 0.447 0.475  57  74 0.770  32 167  199 124  18  22  65  82
## 43  0.250  47   90 0.522 0.468  18  28 0.643  16  67   83  17  18  14  14  29
## 44  0.389 137  264 0.519 0.553  77  89 0.865  71 319  390 247  71  43 117 140
## 45  0.296  53  132 0.402 0.420  16  28 0.571  11  51   62 119  18   2  32  56
## 46  0.344  84  162 0.519 0.518  53  62 0.855  88 152  240  57  12  34  40 125
## 47  0.320 182  391 0.465 0.472 127 175 0.726  37 224  261 152  89  42 121 170
## 48  0.351 555 1013 0.548 0.540 362 448 0.808  89 322  411 448 121  58 224 226
## 49  0.402 186  332 0.560 0.584  56  66 0.848  35 165  200  97  55  10  55 116
## 50  0.176  72  136 0.529 0.500  28  39 0.718  13  47   60  25   9  10  27  42
## 51  0.372 138  295 0.468 0.520 112 124 0.903  16 182  198 132  35   8  72 121
## 52  0.000  99  190 0.521 0.516  25  41 0.610  55 129  184  76  20  51  42  80
## 53  0.289 225  443 0.508 0.487  87 136 0.640  54 304  358 202 105  41 142 190
## 54  0.218  66   96 0.688 0.503  32  54 0.593  34 149  183  56  18  22  37  90
## 55  0.294   2   13 0.154 0.362   0   0    NA   2   7    9  10   1   0   2   7
## 56  0.429  59  115 0.513 0.610  53  60 0.883  23 241  264 100  35  33  43 133
## 57  0.397  82  195 0.421 0.524  96 123 0.780  76 312  388 300  67  43  85 265
## 58  0.000  91  150 0.607 0.603  58  83 0.699  79 111  190  38  18  29  20  72
## 59     NA  89  156 0.571 0.571  58  91 0.637  81 166  247  33  11  41  34 103
## 60  0.401 181  336 0.539 0.566  70  92 0.761 125 319  444 147  54  56  82 197
## 61  0.396 130  305 0.426 0.465  50  76 0.658   7  99  106  42  12   9  35  41
## 62  0.329 346  594 0.582 0.548 177 236 0.750  82 280  362 430 116  29 165 156
## 63  0.256  37   67 0.552 0.491  10  13 0.769  26  72   98  13   7   8  11  20
## 64  0.360 227  491 0.462 0.496 134 162 0.827  40 203  243 267  72  15 117 142
## 65  0.425 358  665 0.538 0.575 246 305 0.807  33 300  333 161  69   1 134 138
## 66     NA  18   36 0.500 0.500   3   3 1.000  12  43   55  11   3   8   8  22
## 67  0.354  46   66 0.697 0.599  13  27 0.481  47 118  165  40  17  39  36  99
## 68  0.000   5   25 0.200 0.152   9  15 0.600   9  16   25  15   9   4   6   9
## 69  0.326 451  841 0.536 0.521 393 454 0.866  39 226  265 433  56  13 264 200
## 70  0.324  22   39 0.564 0.526  13  15 0.867  16  40   56   2   6  24   7  31
## 71  0.384  59  115 0.513 0.537  23  25 0.920   8  36   44  56  14   0  28  34
## 72  0.337 103  248 0.415 0.452  20  25 0.800  35  96  131  96  27  16  61 133
## 73  0.351 162  363 0.446 0.479  43  50 0.860  43 132  175 152  41  16  89 167
## 74     NA   8   16 0.500 0.500   1   2 0.500   9   6   15   1   2   2   3   6
## 75  0.286  16   35 0.457 0.449   9  13 0.692   4  13   17  10  12   2   8  16
## 76  0.333  23   44 0.523 0.514  22  30 0.733  22  37   59  29  20   5  11  47
## 77  0.318  39   79 0.494 0.488  31  43 0.721  26  50   76  39  32   7  19  63
## 78  0.335 137  250 0.548 0.523  95 118 0.805  56 208  264 173 129  38  70 201
## 79  0.325 172  311 0.553 0.527  58  77 0.753  67 256  323  95  55  49  50 111
## 80  0.324  44  104 0.423 0.438  15  26 0.577   5  69   74  87  11   2  31  66
## 81  0.409  19   33 0.576 0.603  15  19 0.789   8  55   63  22   6   4  16  35
## 82  0.426 274  504 0.544 0.575 141 152 0.928  65 223  288 205  46  13  91 102
## 83  0.375  34   82 0.415 0.463  22  30 0.733   9  22   31  16  10   4  19  50
## 84  0.278  61  115 0.530 0.494  23  33 0.697  12  33   45  25   9   4  21  33
## 85  0.258 101  221 0.457 0.436  45  60 0.750  48 137  185  91  40  36  46 178
## 86  0.344 273  516 0.529 0.525 133 202 0.658  65 248  313 100  69  32  99 186
## 87  0.214  17   43 0.395 0.366   3   3 1.000   5  26   31  28  12   5  16  22
## 88  0.361  92  165 0.558 0.550  29  42 0.690  29 155  184  84  25   8  46  88
## 89  0.319  75  165 0.455 0.462  32  47 0.681  35 110  145  80  21   5  30  56
## 90  0.348 201  384 0.523 0.523  87 120 0.725  25 144  169 230  37   4  88 127
## 91  0.333 276  403 0.685 0.648 107 137 0.781 113 341  454  92  25  67  60 126
## 92  0.343  29   54 0.537 0.523  17  21 0.810   2  48   50  20  16   7  11  30
## 93  0.388  68  147 0.463 0.542  56  64 0.875  20 103  123 109  24   5  54  79
## 94  0.377  97  201 0.483 0.537  73  85 0.859  22 151  173 129  40  12  65 109
## 95  0.356  62  117 0.530 0.532  41  49 0.837  13  24   37  65  12   2  20  25
## 96  0.349 118  272 0.434 0.455  62  75 0.827  15  47   62  94  21   5  29  33
## 97  0.352 180  389 0.463 0.482 103 124 0.831  28  71   99 159  33   7  49  58
## 98  0.000   9   14 0.643 0.450   4   5 0.800   2  20   22  10   8   1   4   7
## 99  0.372  31   71 0.437 0.482  33  38 0.868   2  25   27  20   6   4  15  22
## 100 0.378  91  221 0.412 0.466  79  98 0.806  26 160  186  98  25  16  46  62
## 101 0.363 131  306 0.428 0.469 116 141 0.823  30 205  235 128  39  21  65  91
## 102 0.296  25   55 0.455 0.451   8  12 0.667   4  24   28   9   6   8   9  31
## 103 0.378  57  112 0.509 0.525  48  61 0.787  16  36   52  43  24  10  14  18
## 104 0.338 294  599 0.491 0.494 264 304 0.868 105 185  290 220  99  29  81  93
## 105 0.347 351  711 0.494 0.499 312 365 0.855 121 221  342 263 123  39  95 111
## 106 0.369  48   95 0.505 0.533  42  50 0.840  42 116  158  50  14  33  38  81
## 107 0.246  31   63 0.492 0.433   9  11 0.818  11  49   60 115  16   3  35  64
## 108 0.347 174  321 0.542 0.530 137 158 0.867  48 190  238 110  73  13  65 137
## 109 0.400   0    1 0.000 0.500   0   0    NA   1   3    4   3   0   1   2   2
## 110 0.368   4   10 0.400 0.500   4   4 1.000   0   5    5  19   2   1   4   4
## 111 0.347  26   57 0.456 0.492  15  20 0.750   5  44   49  62  12   0  29  46
## 112 0.354  30   68 0.441 0.494  19  24 0.792   6  52   58  84  14   2  35  52
## 113    NA 474  732 0.648 0.648 166 261 0.636 298 550  848  96  44 102  94 168
## 114 0.342 121  265 0.457 0.487 184 242 0.760  68 281  349  85  31  10  73 114
## 115 0.333  22   83 0.265 0.395  26  32 0.813  14  52   66  69  26  11  33  55
## 116 0.389  73  152 0.480 0.550  47  66 0.712  31 163  194  87  44  27  48 141
## 117 0.188 174  339 0.513 0.493  89 112 0.795  87 220  307  78  26  58  65 152
## 118 0.158  18   43 0.419 0.363  20  27 0.741  16  41   57  49  11   9  10  21
## 119 0.368  18   42 0.429 0.467  12  26 0.462   3  10   13  21   9   6  10  27
## 120 0.263  36   85 0.424 0.415  32  53 0.604  19  51   70  70  20  15  20  48
## 121 0.480  53  123 0.431 0.514  51  64 0.797  20  47   67  77  24   9  42  54
## 122 0.349  71  118 0.602 0.581  39  58 0.672  17  98  115  26  20   9  23  35
## 123 0.500 411  739 0.556 0.557 140 254 0.551 181 497  678 194  96  51  84 227
## 124 0.667   2    5 0.400 0.625   0   0    NA   1   2    3   4   1   0   0   0
## 125 0.200   2    5 0.400 0.350   2   2 1.000   3   5    8   1   0   0   1   3
## 126    NA   8   12 0.667 0.667  10  18 0.556   7  32   39   6   2   1   7  21
## 127 0.000  53   86 0.616 0.609  41  69 0.594  85 183  268  31  19  22  35  89
## 128 0.000  61   98 0.622 0.616  51  87 0.586  92 215  307  37  21  23  42 110
## 129 0.325  10   26 0.385 0.447   5   7 0.714   4  43   47  10   3   3   7  29
## 130 0.390  45   89 0.506 0.551  13  18 0.722  44 124  168  72  22  18  39  94
## 131 0.373  55  115 0.478 0.526  18  25 0.720  48 167  215  82  25  21  46 123
## 132    NA   1    3 0.333 0.333   0   0    NA   0   0    0   1   0   0   0   1
## 133 0.400   0    3 0.000 0.375   0   0    NA   1   3    4   4   1   1   1   2
## 134 0.067  10   19 0.526 0.338   6   7 0.857   7  21   28   6   2   4  12  17
## 135 0.263  41   89 0.461 0.435  26  38 0.684  33  81  114  16  15   7  24  64
## 136 0.222  51  108 0.472 0.417  32  45 0.711  40 102  142  22  17  11  36  81
## 137 0.297   9   13 0.692 0.467   7   7 1.000  24  92  116  18  20  26   7  47
## 138 0.327  85  181 0.470 0.480  33  37 0.892  13  76   89  94  22   8  58  95
## 139 0.324 385  735 0.524 0.509 162 192 0.844  82 188  270 196  57  13 135 112
## 140 0.348 410  673 0.609 0.593 203 266 0.763 219 376  595 121  22  39 120 199
## 141 0.331 149  279 0.534 0.523  94 126 0.746 109 215  324  71  25  66  77 174
## 142 0.407 229  465 0.492 0.527 158 190 0.832  36 196  232 459 110   9 125 138
## 143 0.238   8   18 0.444 0.397   8   9 0.889   8  22   30   3   5   1   3   3
## 144 0.364 335  694 0.483 0.507 343 406 0.845  40 199  239 449  94  22 130 123
## 145 0.330  97  150 0.647 0.560  29  40 0.725  61 197  258 122  33  25  33  81
## 146 0.405 123  239 0.515 0.557  20  26 0.769  22 135  157 116  20   3  50  92
## 147 0.274 152  276 0.551 0.515 106 144 0.736  43 204  247 107  40  44  72 109
## 148 0.390  20   40 0.500 0.556  17  23 0.739   7  60   67  14  24  23  22  45
## 149 0.372  51   97 0.526 0.545  51  66 0.773  21 105  126  32  50  24  25  81
## 150 0.378  71  137 0.518 0.548  68  89 0.764  28 165  193  46  74  47  47 126
## 151 0.378  39  114 0.342 0.499  41  56 0.732  16 132  148  46  23  13  46 102
## 152 0.324  99  174 0.569 0.526  49  70 0.700  89 174  263  72  37  46  44 175
## 153 0.332 107  236 0.453 0.474  93 110 0.845   8  77   85 229  33  12  99  75
## 154 0.000   3    5 0.600 0.500   0   0    NA   1   1    2   1   1   0   1   0
## 155 0.000   5    9 0.556 0.500   5   7 0.714   5   5   10   5   1   0   0   3
## 156 0.000   8   14 0.571 0.500   5   7 0.714   6   6   12   6   2   0   1   3
## 157 0.331 145  275 0.527 0.508 142 197 0.721  60 324  384 133  64  31  85 170
## 158 0.462  45   93 0.484 0.570  14  18 0.778  48 140  188  50  27  13  22  71
## 159 0.450  99  214 0.463 0.577  44  52 0.846  27  93  120  66  36  12  61  97
## 160 0.437 278  530 0.525 0.604 263 287 0.916  45 324  369 361  92  25 192 166
## 161 0.381  39   81 0.481 0.545  18  23 0.783  13  60   73  26  26   5  27  79
## 162 0.331 482  881 0.547 0.540 344 433 0.794 174 498  672 218  88 135 112 132
## 163 0.000  15   21 0.714 0.682   6  10 0.600  10  26   36   5   3   5   3  12
## 164 0.000 186  300 0.620 0.616 100 162 0.617 216 478  694  61  35  33  64 226
## 165    NA   0    1 0.000 0.000   0   0    NA   1   0    1   0   0   0   0   0
## 166 0.382 176  309 0.570 0.571  92 113 0.814 105 375  480  90  69  71  84 214
## 167 0.385  17   35 0.486 0.510   8  10 0.800   9  24   33   9  11   0   5  13
## 168 0.286  84  159 0.528 0.505  20  36 0.556  44  71  115  37  27   7  19  34
## 169 0.306 101  194 0.521 0.506  28  46 0.609  53  95  148  46  38   7  24  47
## 170    NA   1    5 0.200 0.200   1   2 0.500   2   2    4   0   1   0   0   2
## 171 0.364   2    8 0.250 0.421   4   4 1.000   0  10   10  29   2   0  11   9
## 172 0.336  52  104 0.500 0.502  38  48 0.792   6  61   67 152  12   2  57  66
## 173 0.338  54  112 0.482 0.496  42  52 0.808   6  71   77 181  14   2  68  75
## 174 0.318  45   74 0.608 0.559  25  35 0.714  20  53   73  18  15   8  14  24
## 175 0.156 624 1268 0.492 0.483 366 441 0.830  54 408  462 475  86  36 199 177
## 176 0.500   6   13 0.462 0.636   4   5 0.800   8   5   13   1   0   1   3   9
## 177 0.250 167  267 0.625 0.622  50  67 0.746  75 257  332  33  29  33  49 113
## 178 0.167  71  141 0.504 0.467  36  59 0.610  38  59   97  17  21  10  23  77
## 179 0.339 170  321 0.530 0.527  88 106 0.830  81 230  311  72  48  41  57 134
## 180 0.335 242  458 0.528 0.517 287 356 0.806  26 140  166 311  40  17 152 187
## 181 0.265  28   41 0.683 0.492   9  12 0.750  16  49   65  31  13   6  19  38
## 182 0.327 338  672 0.503 0.497 346 485 0.713  86 477  563 429  77  25 247 137
## 183 0.256  22   50 0.440 0.416  16  26 0.615   9  34   43  17   7   1  10  20
## 184 0.366  41   82 0.500 0.526  22  35 0.629  18  52   70  39   7   1  17  33
## 185 0.333  63  132 0.477 0.489  38  61 0.623  27  86  113  56  14   2  27  53
## 186 0.368 164  356 0.461 0.506  73  98 0.745  34 228  262 135  58  10  71 135
## 187 0.250   6   13 0.462 0.429   1   2 0.500   6  11   17   5   2   0   0   2
## 188 0.348 122  269 0.454 0.479  79 101 0.782  20  91  111 174  30   5  71  81
## 189 0.132 556 1014 0.548 0.536 243 412 0.590 423 809 1232 112 136 138 175 272
## 190 0.351  48   88 0.545 0.533  32  46 0.696  34 121  155  83  36  16  43 131
## 191 0.354 181  410 0.441 0.458  55  69 0.797  19 168  187 277  68  21 104 166
## 192 0.353 584  995 0.587 0.571 448 506 0.885  33 464  497 457  58  84 225 155
## 193 1.000   1    2 0.500 0.833   0   0    NA   0   1    1   2   0   0   0   0
## 194 0.250   0    0    NA 0.375   0   0    NA   1   1    2   0   0   0   0   0
## 195 0.500   2    6 0.333 0.500   2   2 1.000   0   9    9   1   0   0   0   2
## 196 0.441  20   51 0.392 0.500  17  23 0.739   5  52   57  15   7   2   9  25
## 197 0.447  22   57 0.386 0.500  19  25 0.760   5  61   66  16   7   2   9  27
## 198 0.368  12   29 0.414 0.530  14  16 0.875   6  41   47  29  24   3  14  40
## 199 0.373  34   56 0.607 0.570  25  33 0.758   8  52   60  43  30   3  26  52
## 200 0.371  46   85 0.541 0.554  39  49 0.796  14  93  107  72  54   6  40  92
## 201 0.300 501  936 0.535 0.517 522 649 0.804 160 711  871 234  46 122 226 211
## 202 0.306  23   47 0.489 0.476  16  23 0.696  23  42   65  14   3   7  11  39
## 203 0.367  60   91 0.659 0.597  42  58 0.724  37  80  117  27  38  16  23 111
## 204 0.353  83  138 0.601 0.563  58  81 0.716  60 122  182  41  41  23  34 150
## 205    NA  15   26 0.577 0.577  11  13 0.846   6  28   34   7   2   5   8  11
## 206 0.267  14   38 0.368 0.377   0   1 0.000   6  19   25  23   5   3  11  28
## 207 0.000   0    0    NA 0.000   0   0    NA   0   0    0   0   0   0   0   0
## 208 0.000   3   11 0.273 0.214   0   0    NA   1  11   12  10   3   0   6   8
## 209 0.000   3   11 0.273 0.231   0   0    NA   1  11   12  10   3   0   6   8
## 210 0.356 180  444 0.405 0.448 115 160 0.719  33 168  201 166  58  18 118 117
## 211 0.290  83  179 0.464 0.456  68  86 0.791  16  52   68 110  14   5  52  69
## 212 0.200  24   37 0.649 0.607  10  16 0.625  15  29   44   2   2   4   6   8
## 213 0.350 124  203 0.611 0.603  54  83 0.651  82 124  206  18  15  19  27  74
## 214 0.320 148  240 0.617 0.604  64  99 0.646  97 153  250  20  17  23  33  82
## 215 0.218 346  541 0.640 0.600 154 228 0.675 207 353  560  89  56 106  84 163
## 216 0.328  35   74 0.473 0.481  12  13 0.923   4  30   34  52  10   6  14  29
## 217 0.000  95  175 0.543 0.531  50  73 0.685  79 139  218  37  11   7  33  69
## 218 0.366  79  141 0.560 0.552  37  51 0.725  33 108  141  72  40  16  47 231
## 219 0.362  99  203 0.488 0.511  60  67 0.896  13  96  109 137  36   4  40  64
## 220 0.311 149  274 0.544 0.507  73 103 0.709 138 251  389  95  69  36  74 186
## 221 0.426 185  378 0.489 0.568  69  78 0.885  18 221  239 175  45   4  80 159
## 222 0.340 315  619 0.509 0.509 137 170 0.806  38 220  258 295  71  12 154 225
## 223 0.371 419  870 0.482 0.497 303 417 0.727  43 261  304 590 133  45 227 204
## 224 0.000   7   15 0.467 0.333   1   4 0.250   3   2    5   1   1   0   1   6
## 225 0.417  18   42 0.429 0.500   9  13 0.692   9  22   31  42   5   1  16  19
## 226 0.351  61  118 0.517 0.521  32  41 0.780  32 105  137 206  25   4  60  93
## 227 0.366  79  160 0.494 0.515  41  54 0.759  41 127  168 248  30   5  76 112
## 228 0.000   8   16 0.500 0.276   6   6 1.000   1   6    7   8   3   0   5   5
## 229 0.405  11   38 0.289 0.504  11  14 0.786   4  48   52  20   6   5  13  44
## 230 0.286  61  141 0.433 0.432  21  37 0.568  26  44   70  59  17   5  25  52
## 231 0.433 248  512 0.484 0.554 367 406 0.904  54 363  417 178  49  23  99 129
## 232 0.355  93  207 0.449 0.503  81  96 0.844  49 122  171  85  37   8  24 135
## 233 0.000  11   19 0.579 0.407   4   4 1.000   0   3    3   7   1   1   2   3
## 234 0.442  64  135 0.474 0.527  40  52 0.769  24 148  172 101  24  23  36  70
## 235 0.344 227  462 0.491 0.499 152 201 0.756  56 399  455 248  60  63 119 147
## 236 0.363 291  597 0.487 0.505 192 253 0.759  80 547  627 349  84  86 155 217
## 237 0.333   0    3 0.000 0.250   1   2 0.500   0  10   10   2   0   1   2   1
## 238 0.500  36   78 0.462 0.494  27  38 0.711  22 105  127  50   5  14  14  28
## 239 0.462  36   81 0.444 0.479  28  40 0.700  22 115  137  52   5  15  16  29
## 240 0.402 302  562 0.537 0.554 120 147 0.816  63 407  470 182  54  34 114 159
## 241 0.386 415  857 0.484 0.529 453 540 0.839 105 523  628 318 170  34 205 214
## 242 0.324 293  503 0.583 0.576 134 177 0.757 172 286  458  84  53  39  73 186
## 243 0.000 175  342 0.512 0.503  58  91 0.637  66 156  222  85  31  22  73 150
## 244 0.367 290  577 0.503 0.512 156 195 0.800  57 175  232 270  96  45 141 175
## 245    NA 476  712 0.669 0.669 332 522 0.636 309 732 1041 161  66 187 130 231
## 246 0.333   4   17 0.235 0.304   9  11 0.818   1   2    3  14   0   0   3   7
## 247 0.349 349  699 0.499 0.507 185 253 0.731 129 445  574 289  57  56 162 172
## 248 0.360 168  338 0.497 0.525 119 152 0.783  17 131  148 129  41  27  90 143
## 249    NA  99  186 0.532 0.532  35  48 0.729  67 194  261  65   6  24  50  92
## 250 0.281  40   95 0.421 0.421  35  46 0.761  10  53   63 121  23   2  30  48
## 251 0.297  26   63 0.413 0.435  18  22 0.818  23  84  107  34  13   7  17  68
## 252 0.392 294  530 0.555 0.567 157 221 0.710  96 321  417  79  61 100  67 214
## 253 0.364  52  110 0.473 0.509  26  40 0.650  19  79   98 156  44   6  51  78
## 254 0.000   0    0    NA 0.000   0   0    NA   0   0    0   0   0   0   0   0
## 255 0.455  95  195 0.487 0.622  37  44 0.841  60 257  317 126  73  53  75 171
## 256 0.285 141  257 0.549 0.501  63  91 0.692  60 421  481 454  95  70 169 197
## 257 0.354  75  137 0.547 0.535  57  68 0.838  30 152  182  40  33  27  55 126
## 258 0.413  46   84 0.548 0.582  17  21 0.810  32 125  157  14  12   8  23  70
## 259 0.396 113  216 0.523 0.545  63  80 0.788  72 180  252  36  33  26  64 123
## 260 0.403 159  300 0.530 0.558  80 101 0.792 104 305  409  50  45  34  87 193
## 261 0.347 215  367 0.586 0.555 183 206 0.888  57 252  309 137  43  39 101 160
## 262 0.362 430  819 0.525 0.532 414 550 0.753 100 465  565 402  52  28 253 199
## 263 0.348  15   37 0.405 0.450   3   6 0.500  10  37   47  22   6   1  16  19
## 264 0.000   3    7 0.429 0.250   2   2 1.000   0   1    1   5   1   0   1   1
## 265 0.321  63  127 0.496 0.489  33  43 0.767   7  54   61  37  12   2  24  35
## 266 0.347 165  389 0.424 0.469 199 233 0.854  26 135  161 122  42   6  81 106
## 267 0.340 228  516 0.442 0.474 232 276 0.841  33 189  222 159  54   8 105 141
## 268 0.368 465  881 0.528 0.541 754 858 0.879  66 452  518 586 158  58 387 244
## 269 0.275 156  268 0.582 0.530  49  73 0.671  77 192  269  74  67  53  45 163
## 270 0.176 543  871 0.623 0.617 266 414 0.643 184 351  535 162  71 110 132 255
## 271 0.310  70  147 0.476 0.470 102 134 0.761  12 100  112 122  35  16  56 133
## 272 0.339 188  395 0.476 0.488 115 144 0.799  41 119  160 127  55  19  68 113
## 273 0.474 191  362 0.528 0.622 110 133 0.827  52 239  291 181  38  17 121 182
## 274 0.326 143  264 0.542 0.524  74  88 0.841  32 181  213  79  11  13  42  61
## 275 0.434 312  597 0.523 0.561 192 219 0.877  37 395  432 150  40  24 109 123
## 276 0.397 455  861 0.528 0.549 266 307 0.866  69 576  645 229  51  37 151 184
## 277 0.000   1    1 1.000 0.500   0   0    NA   0   0    0   0   0   0   0   1
## 278 0.200   1    2 0.500 0.333   1   2 0.500   2   3    5   7   0   0   2   7
## 279 0.214   9   25 0.360 0.346  16  16 1.000   4  11   15  17   4   2  10  26
## 280 0.200  11   28 0.393 0.349  17  18 0.944   6  14   20  24   4   2  12  34
## 281 0.270 160  337 0.475 0.460  82 123 0.667  33 189  222 139  89  30  60 124
## 282 0.336  97  190 0.511 0.506  55  80 0.688  35 213  248  93  64  40  58 147
## 283 0.333  18   35 0.514 0.512  11  14 0.786  21  26   47  15   7  12  13  56
## 284 0.000  11   21 0.524 0.333   3   4 0.750   3  24   27   2   0   0   3   9
## 285 0.333 219  404 0.542 0.527 156 187 0.834  51 271  322 244  62  23 105 104
## 286 0.355  20   36 0.556 0.545   6  10 0.600  16  55   71  14   7  11  12  16
## 287 0.365  72  133 0.541 0.545  66  86 0.767  64 201  265  55  27  24  37  94
## 288 0.385 138  256 0.539 0.544 100 144 0.694 117 194  311  60  16  20  58  98
## 289 0.276 149  312 0.478 0.457  87 114 0.763  28 211  239  88  57   8  88 110
## 290    NA   4    8 0.500 0.500   4   5 0.800   2   5    7   2   1   3   1   5
## 291 0.427 345  709 0.487 0.560 171 193 0.886 106 306  412 205  58  33 146 202
## 292 0.200   3    5 0.600 0.450   0   2 0.000   0   5    5   2   1   0   1   1
## 293 0.464  42   79 0.532 0.575  17  20 0.850  12  15   27  36  12   1  20  35
## 294 0.280  80  144 0.556 0.493  53  65 0.815  27  94  121  99  40   7  31  67
## 295 0.314 122  223 0.547 0.516  70  85 0.824  39 109  148 135  52   8  51 102
## 296 0.317  36   77 0.468 0.472  23  32 0.719  34  99  133  55  23  10  31  80
## 297 0.000  60  113 0.531 0.517  31  47 0.660  34  89  123  26  18  15  11  87
## 298 0.339  62  135 0.459 0.483  41  50 0.820   5  62   67  87  21  13  40  71
## 299 0.325 429  796 0.539 0.523 208 271 0.768  75 259  334 518 109  54 210 148
## 300 0.333  84  188 0.447 0.474  54  60 0.900  27 127  154  61  54  15  57  85
## 301 0.359  54  124 0.435 0.506  41  46 0.891  19 150  169  85  67  21  47  79
## 302 0.348 138  312 0.442 0.490  95 106 0.896  46 277  323 146 121  36 104 164
## 303    NA   0    0    NA    NA   0   0    NA   0   0    0   0   0   0   0   0
## 304 0.184 191  438 0.436 0.420 118 183 0.645  83 227  310  96  44  27  68 107
## 305    NA 222  365 0.608 0.608 128 175 0.731 115 216  331  60  42  79  52 194
## 306 0.345  69  133 0.519 0.518  33  41 0.805   7  38   45  34  21   7  19  45
## 307 0.362 139  302 0.460 0.488 104 114 0.912  18  94  112  92  38   5  36 101
## 308 0.356 208  435 0.478 0.498 137 155 0.884  25 132  157 126  59  12  55 146
## 309 0.360 314  520 0.604 0.586  78  95 0.821 120 338  458 283  59  86 102 126
## 310 0.416  44   74 0.595 0.615  56  71 0.789  25 115  140  40  21  11  35  80
## 311    NA  43   69 0.623 0.623  29  48 0.604  24  59   83   4   7   4  16  34
## 312 0.385 139  304 0.457 0.522  41  56 0.732  60 185  245 214  65  25 109 155
## 313 0.273   3   10 0.300 0.357   0   0    NA   4   7   11   0   1   0   0   7
## 314 0.400   2    3 0.667 0.615   1   2 0.500   1   2    3   3   1   0   0   3
## 315 0.280  82  159 0.516 0.493  23  38 0.605  31 154  185  34  23   6  25  59
## 316 0.290 415  708 0.586 0.557 135 177 0.763 156 445  601  99  29 103 114 211
## 317 0.333 103  158 0.652 0.579  39  67 0.582  48 204  252 216  61  51  52  95
## 318 0.391 170  319 0.533 0.565  87 123 0.707  35 295  330 469  98  20 193 180
## 319 0.000   0    3 0.000 0.000   0   0    NA   1   1    2   0   1   0   1   0
## 320 0.330 331  635 0.521 0.518 195 289 0.675  41 226  267 154  28  31 129 149
## 321 0.401 430  807 0.533 0.557 214 245 0.873  71 264  335 464 103  34 172 167
## 322 0.323 176  345 0.510 0.499 110 135 0.815  99 312  411  80  59  98  75 143
## 323 0.367  84  195 0.431 0.465  84 103 0.816  37 147  184  73  28  22  44 123
## 324 0.363 109  221 0.493 0.514  61  74 0.824  94 208  302  52  32  20  48 172
## 325 0.333   6    9 0.667 0.600   4   4 1.000   2   1    3   5   2   0   1   4
## 326 0.314 141  278 0.507 0.493  54  73 0.740  25 109  134  69  25   2  48  92
## 327 0.359 247  447 0.553 0.549 151 197 0.766  73 199  272  64  52  82  98 220
## 328 0.324 274  616 0.445 0.456 143 213 0.671  66 281  347 183  74  56 173 209
## 329 0.372  60  104 0.577 0.568  21  29 0.724  19  47   66  28   9   1   7  32
## 330 0.346  70  136 0.515 0.517  41  50 0.820  25 121  146  68  23  13  22  67
## 331 0.355 130  240 0.542 0.537  62  79 0.785  44 168  212  96  32  14  29  99
## 332 0.369 267  576 0.464 0.504 204 236 0.864  45 171  216 344  55   9 148 208
## 333 0.339 447  768 0.582 0.560 278 418 0.665  57 408  465 454  72  33 197  94
## 334    NA  10   16 0.625 0.625   7   8 0.875   6  15   21   3   3   3   1   8
## 335 1.000   0    0    NA 1.500   0   0    NA   0   1    1   1   0   0   0   0
## 336 0.357  20   47 0.426 0.485  15  18 0.833   6  30   36  21   0   2   9  10
## 337 0.379  20   47 0.426 0.505  15  18 0.833   6  31   37  22   0   2   9  10
## 338 0.367  94  167 0.563 0.556  64  80 0.800  72 216  288  96  27  18  43 137
## 339 0.500   3   14 0.214 0.281   4   8 0.500   4  15   19   1   1   3   0   7
## 340 0.300  67  117 0.573 0.541  31  41 0.756  47 100  147  60  16  13  45  99
## 341 0.000   1    1 1.000 0.500   0   0    NA   0   0    0   0   0   0   0   1
## 342 0.500   5   10 0.500 0.594   2   2 1.000   2   6    8   0   2   0   2   3
## 343 0.429   6   11 0.545 0.583   2   2 1.000   2   6    8   0   2   0   2   4
## 344 0.336 114  230 0.496 0.499  50  70 0.714  22 154  176 135  35  27  74 114
## 345 0.324  27   57 0.474 0.478   9  13 0.692   9  33   42  28  12   1  26  22
## 346 0.282  82  168 0.488 0.454  41  51 0.804  25 150  175  60  48  13  55  92
## 347 0.288 109  225 0.484 0.459  50  64 0.781  34 183  217  88  60  14  81 114
## 348 0.321  28   69 0.406 0.440  34  39 0.872  15  37   52  54  14   6  14  25
## 349 0.353  99  197 0.503 0.516  61  88 0.693  19 102  121 112  40  21  63  72
## 350 0.346 127  266 0.477 0.498  95 127 0.748  34 139  173 166  54  27  77  97
## 351 0.231   4   14 0.286 0.325   7  10 0.700   2  16   18   7   2   5   6  18
## 352 0.380  16   38 0.421 0.506   6   9 0.667  10  44   54  16  12   7  12  45
## 353 0.329  20   52 0.385 0.449  13  19 0.684  12  60   72  23  14  12  18  63
## 354 0.307 533  936 0.569 0.545 289 352 0.821 228 637  865 580 108  55 248 228
## 355    NA  53   74 0.716 0.716  24  37 0.649  31  44   75  28  12  25  16  63
## 356 0.308 132  233 0.567 0.537  74 122 0.607  96 144  240  37  46  42  43 123
## 357 0.357  16   34 0.471 0.500  19  27 0.704  11  23   34   7   9   2   8  27
## 358 0.200  10   23 0.435 0.394   1   2 0.500  16  33   49  13   7   5   5  10
## 359 0.000   1    2 0.500 0.250   0   1 0.000   0   4    4   0   0   0   1   1
## 360 0.317 145  320 0.453 0.460  58  69 0.841  23 111  134 327  81   5  47  78
## 361    NA  78  123 0.634 0.634  51  66 0.773  64 152  216  57   9  20  42  42
## 362    NA 208  323 0.644 0.644 135 198 0.682 161 525  686  99  33  53 111 125
## 363    NA 286  446 0.641 0.641 186 264 0.705 225 677  902 156  42  73 153 167
## 364 0.322 171  377 0.454 0.463  30  43 0.698  39 240  279 321  94  22  80 131
## 365 0.360  88  159 0.553 0.547  79 107 0.738  39 124  163  63  12  12  41  68
## 366 0.250 121  203 0.596 0.584  50  68 0.735  86 112  198  32  14   9  39  61
## 367 0.318 244  446 0.547 0.544 105 129 0.814 171 290  461  84  18  17  79 106
## 368 0.294 365  649 0.562 0.556 155 197 0.787 257 402  659 116  32  26 118 167
## 369 0.394 122  251 0.486 0.540  51  61 0.836  12 171  183 114  26  10  57  92
## 370 0.340 142  285 0.498 0.500  95 123 0.772  88 158  246  61  32  39  43 156
## 371    NA   0    0    NA    NA   0   0    NA   0   1    1   0   0   0   0   0
## 372 0.353  98  168 0.583 0.553  58  74 0.784  90 239  329  70  36  78  54 143
## 373 0.156   6   15 0.400 0.287   9  11 0.818   1   8    9   9   2   0   5  14
## 374 0.371  52  116 0.448 0.498  18  23 0.783   9  41   50  62  19   2  25  48
## 375 0.318  58  131 0.443 0.460  27  34 0.794  10  49   59  71  21   2  30  62
## 376 0.343 213  550 0.387 0.438 162 226 0.717  61 274  335  82  43  24 114 175
## 377 0.326  51  101 0.505 0.496  36  44 0.818  16  91  107  52  29   2  25  62
## 378 0.363  37   90 0.411 0.502  38  46 0.826  28 107  135  54  27  42  25  41
## 379 0.463  10   22 0.455 0.625  13  16 0.813   0  29   29  17   3   2  17  22
## 380 0.384  53  113 0.469 0.547  47  57 0.825   9 124  133  64  22  10  42  84
## 381 0.397  63  135 0.467 0.559  60  73 0.822   9 153  162  81  25  12  59 106
## 382    NA  73  153 0.477 0.477  10  24 0.417  52 125  177  36  15  18  27  68
## 383 0.315 144  265 0.543 0.514  72  92 0.783  56 190  246  52  41  25  77 146
## 384 0.303 368  665 0.553 0.515 188 250 0.752  60 322  382 178  41  26 133 170
## 385 1.000  11   17 0.647 0.737   3   6 0.500   5  14   19   5   3   3   4   8
## 386 0.364   9   19 0.474 0.500   6  11 0.545   4  20   24   6   2   3   7  21
## 387 0.462  20   36 0.556 0.592   9  17 0.529   9  34   43  11   5   6  11  29
## 388 0.348 316  649 0.487 0.499 231 260 0.888  65 369  434 172  88  32  80 140
## 389 0.374 410  814 0.504 0.520 312 375 0.832  40 254  294 283  60  26 215 140
## 390 0.326 157  243 0.646 0.579  50  71 0.704  56 161  217  53  31  30  46 116
## 391 0.258  91  152 0.599 0.563  19  31 0.613  43  82  125  24   9  19  12  35
## 392 0.313  16   31 0.516 0.500   9  14 0.643   6  21   27  16   8   2   5  13
## 393 0.282  21   43 0.488 0.457   5   7 0.714   3  24   27  21  13   1   9  19
## 394 0.291  37   74 0.500 0.473  14  21 0.667   9  45   54  37  21   3  14  32
## 395 0.397  29   59 0.492 0.547  19  22 0.864   8  56   64  13  13   0  11  28
## 396 0.400  36   82 0.439 0.448   8  11 0.727   4  23   27  30  11   1  10  14
## 397 0.363 246  444 0.554 0.551 140 216 0.648 158 266  424  86  27  69  97 200
## 398 0.371 448  827 0.542 0.546 364 426 0.854  78 361  439 199 106  24 121  87
## 399 0.450  82  131 0.626 0.649  43  51 0.843  49 184  233  75  13   9  43 105
## 400 0.091  65  102 0.637 0.588  23  31 0.742  27  70   97  14  12   4  23  60
## 401 0.312 159  329 0.483 0.478  85 123 0.691  35 116  151 156  42  14  69  77
## 402 0.369 444  890 0.499 0.522 468 513 0.912  68 303  371 551  88  34 212 148
## 403 0.200  47  100 0.470 0.410  34  42 0.810   6  54   60  50   9   6  26  48
## 404 0.333 136  254 0.535 0.523 142 168 0.845  16 103  119 181  38   7  98  96
## 405 0.294 183  354 0.517 0.491 176 210 0.838  22 157  179 231  47  13 124 144
## 406 0.000 109  208 0.524 0.519  40  51 0.784  42  75  117 114  31  27  38  74
## 407 0.000   0    0    NA 0.000   0   0    NA   0   0    0   0   1   0   1   0
## 408 0.100 216  337 0.641 0.627  65 105 0.619 194 223  417 123  46  53  51 211
## 409 0.365 168  274 0.613 0.571 112 133 0.842  33 363  396  98  51 179  82 189
## 410 0.226 297  504 0.589 0.575  89 123 0.724 140 146  286  89  11  78  96 124
## 411 0.361  56  136 0.412 0.479 103 114 0.904  33 206  239  48   6   5  42  54
## 412 0.347 147  286 0.514 0.518 161 194 0.830  41 271  312 564  91  31 182 166
## 413 0.500   4   10 0.400 0.556   9  11 0.818   1   8    9   6   0   0   2   5
## 414 0.000   0    0    NA 0.000   2   2 1.000   0   3    3   1   0   0   0   1
## 415 0.227   8   21 0.381 0.360   4   6 0.667   4  14   18   4   4   1   5  14
## 416 0.330  38   81 0.469 0.483  27  35 0.771   7  72   79  22  15   7  16  59
## 417 0.310  46  102 0.451 0.459  31  41 0.756  11  86   97  26  19   8  21  73
## 418 0.400   5    8 0.625 0.611   1   3 0.333   7  11   18   6   2   0   4  10
## 419 0.255 156  295 0.529 0.470  81 116 0.698  44 202  246  87  30  23  68  93
## 420 1.000   3    5 0.600 0.750   1   1 1.000   0   0    0   3   1   0   0   2
## 421 0.000   2   12 0.167 0.143   5   9 0.556   0   2    2   1   2   0   4   3
## 422 0.359 115  261 0.441 0.473  53  75 0.707  18  84  102 182  45   4  62  81
## 423 0.354 117  273 0.429 0.462  58  84 0.690  18  86  104 183  47   4  66  84
## 424 0.455   5   16 0.313 0.463   4   7 0.571   2  10   12   7   1   0   6   8
## 425 0.000   3    5 0.600 0.333   0   0    NA   0   3    3   2   0   0   0   0
## 426 0.188  44   88 0.500 0.466  42  61 0.689  48  80  128  25  25  16  21  84
## 427 0.307  27   59 0.458 0.459  36  47 0.766  24  82  106  27  11  33  24  50
## 428 0.333  33   56 0.589 0.537  20  37 0.541  17  79   96  18  10  18   9  55
## 429 0.320  60  115 0.522 0.498  56  84 0.667  41 161  202  45  21  51  33 105
## 430 0.500  71  112 0.634 0.642  26  36 0.722  32  81  113  32   5  10  22  33
## 431 0.000  85  138 0.616 0.607  72  95 0.758  55  97  152  22  11  17  37  57
## 432 0.400 156  250 0.624 0.623  98 131 0.748  87 178  265  54  16  27  59  90
## 433 0.361 222  463 0.479 0.506 170 195 0.872  74 396  470  75  37  33  85 122
## 434 0.351  23   47 0.489 0.510   9  11 0.818  11  62   73  18   3   8  11  51
## 435 0.219  57  105 0.543 0.462  39  57 0.684   6  37   43  84  16   4  36  34
## 436 0.000   1    3 0.333 0.250   0   0    NA   1   2    3   0   1   0   0   0
## 437 0.200   2    9 0.222 0.263   4   5 0.800   1   2    3   5   1   1   2   2
## 438 0.369  33   80 0.413 0.500  41  48 0.854  11  54   65  55  20   4  31  56
## 439 0.380  94  206 0.456 0.520  87 110 0.791  20  82  102 100  33  12  58 102
## 440 0.372 129  295 0.437 0.507 132 163 0.810  32 138  170 160  54  17  91 160
## 441 0.333   6   12 0.500 0.500   2   5 0.400   2   5    7   2   1   1   2   8
## 442 0.000   2    2 1.000 0.667   0   1 0.000   0   1    1   0   0   0   0   2
## 443 0.250   1    5 0.200 0.278   0   0    NA   0   3    3   2   2   0   3   1
## 444 0.333  16   30 0.533 0.519  13  15 0.867   7  38   45  27  21   2  14  37
## 445 0.321  17   35 0.486 0.484  13  15 0.867   7  41   48  29  23   2  17  38
## 446 0.375 404  798 0.506 0.527 159 192 0.828  62 220  282 207  55  28 106 172
## 447 0.333 206  377 0.546 0.542  29  37 0.784  28 146  174 258  79  17  91 105
## 448 0.408 123  216 0.569 0.590  66  79 0.835  17  92  109  67  18   8  42 104
## 449 0.083 399  629 0.634 0.625  96 152 0.632 195 371  566  52  47 148 108 208
## 450 0.351 107  236 0.453 0.489  52  72 0.722  60 178  238 112  36  12  64 115
## 451 0.356  92  157 0.586 0.564  27  48 0.563  81 166  247  31  18  15  30 134
## 452 0.415   8   23 0.348 0.523   8  12 0.667   3  14   17   4   6   3   5  22
## 453 0.286  51   95 0.537 0.508  28  35 0.800   6  34   40  30  13   7  15  26
## 454 0.444  13   21 0.619 0.641   1   1 1.000   1  11   12   8   1   1   2   5
## 455 0.324  44   78 0.564 0.540  20  32 0.625  36  95  131  35  10  26  21  55
## 456 0.305  71  161 0.441 0.447  21  28 0.750  25 109  134 159  68  23  75 113
## 457 0.000  19   56 0.339 0.328  13  17 0.765   9  27   36  13   6   2  15  14
## 458 0.378 327  674 0.485 0.519 216 258 0.837  50 411  461 331  80   7 174 172
## 459 0.364  18   39 0.462 0.514  13  14 0.929   1  26   27  14   8   5   9  17
## 460 0.314  27   69 0.391 0.444  35  44 0.795  12  56   68  22  18  10  21  62
## 461 0.330  45  108 0.417 0.468  48  58 0.828  13  82   95  36  26  15  30  79
## 462 0.365  56  120 0.467 0.528  56  71 0.789  14 114  128 146  40  23  59 165
## 463 0.476   1    5 0.200 0.615   3   4 0.750   1   4    5   1   1   1   1   5
## 464 0.394 123  259 0.475 0.545  88 103 0.854  24 158  182 245  49  10  93 129
## 465 0.365 264  506 0.522 0.528 181 249 0.727 153 352  505 141  83  54  95 183
## 466 0.318  20   43 0.465 0.471   5   7 0.714   9  26   35  18   8   8   6  29
## 467 0.356  25   48 0.521 0.530  20  23 0.870  14  61   75  20  10   9  11  21
## 468 0.368  97  176 0.551 0.552  85 101 0.842  46 218  264  35  21  25  37  86
## 469 0.365 122  224 0.545 0.546 105 124 0.847  60 279  339  55  31  34  48 107
## 470 0.362 473 1011 0.468 0.493 319 396 0.806  59 257  316 322 106  31 218 208
## 471 0.182   4    9 0.444 0.350   2   2 1.000   1   5    6  15   1   1   8  10
## 472 0.330 118  256 0.461 0.480  90 102 0.882  16 121  137 117  37  19  86 106
## 473    NA   3    5 0.600 0.600   0   0    NA   3   0    3   1   0   0   0   0
## 474 1.000  14   22 0.636 0.674  10  11 0.909   4   9   13   7   1   0   1   5
## 475 0.000  74  157 0.471 0.460  35  61 0.574  60  96  156  16  13   8  31  61
## 476 0.200  91  184 0.495 0.489  45  72 0.625  67 105  172  24  14   8  32  66
## 477 0.432 180  356 0.506 0.553  45  59 0.763  35  92  127 102  40   8  59 112
## 478    NA   0    0    NA    NA   0   0    NA   0   3    3   0   0   0   0   1
## 479 1.000   2    6 0.333 0.500   0   0    NA   4  16   20   4   1   1   5   9
## 480 1.000   2    6 0.333 0.500   0   0    NA   4  13   17   4   1   1   5   8
## 481 0.333   3    7 0.429 0.450   1   2 0.500   0   5    5   4   2   0   1   1
## 482 0.375 231  455 0.508 0.533 146 173 0.844  76 382  458 109  43  25  92 181
## 483 0.339  41   97 0.423 0.455  14  19 0.737  20  71   91  19  11   2   7  58
## 484 0.333  95  184 0.516 0.509  57  73 0.781  41 133  174  60  25  20  47 117
## 485 0.335 136  281 0.484 0.492  71  92 0.772  61 204  265  79  36  22  54 175
## 486 0.414 252  475 0.531 0.560  65  81 0.802  35 159  194 297  73   4  52 102
## 487    NA   3    6 0.500 0.500   0   2 0.000   2   1    3   1   0   1   3   6
## 488 0.000  39   70 0.557 0.534  24  40 0.600  18  33   51  11   5   3  16  27
## 489 0.329 261  530 0.492 0.493 144 186 0.774  33 163  196 228  43  19 140 103
## 490 0.367 361  759 0.476 0.502 189 223 0.848  65 252  317 363  67  27 158 153
## 491 0.100   8   12 0.667 0.432   0   2 0.000   1   4    5   2   2   0   4   1
## 492 0.368  15   26 0.577 0.560   7   8 0.875   6  38   44  14   4  11   5  18
## 493 0.342  41   79 0.519 0.514  63  77 0.818  51 149  200  62  18  27  43 112
## 494 0.348  56  105 0.533 0.525  70  85 0.824  57 187  244  76  22  38  48 130
## 495 0.500   0    4 0.000 0.375   0   0    NA   1   1    2   4   1   0   1   0
## 496 0.318  17   47 0.362 0.436  12  20 0.600   8  26   34  33  13   1  20  25
## 497 0.326  17   51 0.333 0.432  12  20 0.600   9  27   36  37  14   1  21  25
## 498 0.320  59  115 0.513 0.498  27  36 0.750  14 102  116  20  20  12  26  68
## 499 0.337 216  381 0.567 0.554  96 134 0.716 168 384  552 214 100  40  97 192
## 500 0.333  93  207 0.449 0.476 115 138 0.833  18  82  100 143  41  16  66  67
## 501 0.333  54  101 0.535 0.522  28  33 0.848   6  56   62  93  14   4  35  49
## 502 0.410  43   76 0.566 0.594  20  24 0.833  11  76   87  35  10   6  23  57
## 503 0.000 110  212 0.519 0.516  78 109 0.716  58 180  238  89  20  31  50  96
## 504    NA 162  276 0.587 0.587  54  79 0.684 127 198  325  45  66  96  48 166
## 505 0.312  71  171 0.415 0.444  39  50 0.780   5 153  158  35   9  18  18  76
## 506 0.287  62  167 0.371 0.395  23  30 0.767  12  75   87 121  30  14  56 104
## 507 0.250   0    1 0.000 0.346   0   0    NA   0   1    1   2   0   0   0   6
## 508 0.385   4    8 0.500 0.548   4   4 1.000   0   4    4   5   1   0   1   4
## 509 0.320   4    9 0.444 0.471   4   4 1.000   0   5    5   7   1   0   1  10
## 510 0.103 417  797 0.523 0.510 282 365 0.773 243 505  748 233  71 103 168 250
## 511 0.320 102  187 0.545 0.527  58  85 0.682  41 122  163  54  36  17  29 106
## 512 0.386  95  167 0.569 0.574  32  42 0.762  22 263  285 124  54  24  70 172
## 513 0.083  68  124 0.548 0.511  17  21 0.810  29  90  119  56   9  25  31  68
## 514 0.315  39   69 0.565 0.513  24  39 0.615  24  62   86  23  10   4  19  43
## 515 0.200 211  357 0.591 0.587  59  89 0.663  82 196  278  40  15  40  52  96
## 516 0.295  75  158 0.475 0.460  37  47 0.787  12  86   98 127  32   7  69 109
## 517 0.279 136  293 0.464 0.445 118 162 0.728  41 177  218  91  88  33  63 166
## 518 0.343 175  372 0.470 0.486 103 141 0.730  21 181  202 186  60  11  82  72
## 519 0.354 148  245 0.604 0.563 152 185 0.822  72 303  375 140  53  37 114 183
## 520 0.348 230  470 0.489 0.504 141 181 0.779  45 312  357 195  60  11 114 195
## 521 0.311  91  173 0.526 0.500  68  85 0.800  24 105  129  20  27  20  30  71
## 522 0.325 176  331 0.532 0.515 121 159 0.761  47 149  196  64  57  39  73 110
## 523 0.320 267  504 0.530 0.510 189 244 0.775  71 254  325  84  84  59 103 181
## 524 0.000  85  189 0.450 0.440  97 124 0.782  99 166  265  91  31  17  57 151
## 525 0.296 125  204 0.613 0.565  52  76 0.684  38 142  180  68  23  16  67  58
## 526 0.325 183  350 0.523 0.514  79 108 0.731  41 200  241  84  23  14  84  87
## 527 0.313 308  554 0.556 0.533 131 184 0.712  79 342  421 152  46  30 151 145
## 528 0.255 200  412 0.485 0.474  91 124 0.734  14  69   83 207  21   7  75  53
## 529 0.309  39   88 0.443 0.453  22  25 0.880   4  66   70  43  19   5  32  45
## 530 0.336  36   82 0.439 0.479  19  30 0.633  42 105  147  31  16  13  22  46
## 531 0.000   2    5 0.400 0.286   1   2 0.500   2   4    6   3   2   0   0   5
## 532 0.358 175  365 0.479 0.508 175 203 0.862  36 229  265 473 114  18 152 146
## 533 0.360  18   30 0.600 0.573  11  16 0.688   3  16   19  23   8   3  11  15
## 534 0.271  53  109 0.486 0.458  22  25 0.880  10  43   53  83  20   6  34  49
## 535 0.298  71  139 0.511 0.487  33  41 0.805  13  59   72 106  28   9  45  64
## 536 0.314 146  307 0.476 0.475  55  74 0.743  49 171  220 320  44  17 112  81
## 537 0.500   4    6 0.667 0.688   0   0    NA   1   1    2   4   3   1   1   2
## 538 0.261  13   27 0.481 0.425  19  22 0.864   4  32   36  21   6   0  18  15
## 539 0.200 260  432 0.602 0.595 111 198 0.561 165 359  524 243  66  76 126 252
## 540    NA  32   48 0.667 0.667  16  30 0.533  16  23   39  17   6   4  10  14
## 541 0.333  23   40 0.575 0.552  34  42 0.810   8  38   46  24  11   1  13  24
## 542 0.488  58  121 0.479 0.580  29  32 0.906  14  69   83  40  18   9  25  29
## 543 0.369 137  266 0.515 0.531  49  64 0.766  40 191  231  80  64  22  40  79
## 544 0.406 195  387 0.504 0.546  78  96 0.813  54 260  314 120  82  31  65 108
## 545 0.375  95  199 0.477 0.500  39  50 0.780  46 115  161  29  11   8  29  61
## 546 0.403 109  238 0.458 0.507  38  47 0.809  63 179  242  43  24  12  45  84
## 547 0.393 204  437 0.467 0.504  77  97 0.794 109 294  403  72  35  20  74 145
## 548 0.307 251  359 0.699 0.637 196 254 0.772 140 271  411 112  44  50  67 201
## 549 0.400 125  230 0.543 0.568  62  75 0.827  16 123  139  91  39  13  65  96
## 550 0.391  31   58 0.534 0.549  18  29 0.621  29  47   76  17   4  10  13  47
## 551    NA 187  290 0.645 0.645  49  92 0.533 178 232  410  93  29  68  48 124
## 552    NA   1    1 1.000 1.000   0   0    NA   0   0    0   0   0   0   0   0
## 553 0.200 113  197 0.574 0.554  49  69 0.710  70 136  206  54  17  14  35  90
## 554 0.400  45  102 0.441 0.525  43  62 0.694  10  46   56  97  25   3  43  91
## 555 0.344 504  894 0.564 0.555 356 487 0.731 162 472  634 229  52  45 208 246
## 556 0.397 212  422 0.502 0.557 228 255 0.894  20 166  186 206  32  17 101 129
## 557 0.500   3    8 0.375 0.500   0   0    NA   2   4    6   3   1   0   1   3
## 558 0.412  12   27 0.444 0.558   8   9 0.889   4  27   31  13   6   2   5  26
## 559 0.357 259  566 0.458 0.492 199 231 0.861  54 209  263 298  79  34 113 200
## 560 0.320   1    4 0.250 0.448   4   5 0.800   2  11   13   0   1   0   8  13
## 561 0.311  43   88 0.489 0.477  25  46 0.543  10  61   71  58  18  10  36  72
## 562 0.321  85  157 0.541 0.507  25  49 0.510  15  76   91 109  29  13  32 135
## 563 0.318 128  245 0.522 0.497  50  95 0.526  25 137  162 167  47  23  68 207
## 564 0.000  19   30 0.633 0.594   9  14 0.643   6  14   20   6   4   6   2  11
## 565 0.286   8   11 0.727 0.500   4   6 0.667   2  17   19   5   5   0   4  11
## 566 0.290  56  114 0.491 0.472  32  40 0.800  17  54   71  21  14   8  18  45
## 567 0.316  26   53 0.491 0.482   6   9 0.667   3  38   41  19  11   3  13  46
## 568    NA 202  291 0.694 0.694  81 135 0.600 177 246  423  37  52 161  35 217
## 569 0.359 124  290 0.428 0.464  23  36 0.639  34 209  243 367  57   7 127 100
## 570 0.370 309  607 0.509 0.518 137 160 0.856  33 107  140 220  31  12  82  57
## 571 0.383 223  461 0.484 0.534 126 144 0.875  27 253  280 135  72  29  90 119
## 572 0.353 139  329 0.422 0.477  73  93 0.785  32 275  307 231  68  21  68 101
## 573 0.311 216  476 0.454 0.458 195 228 0.855  33 210  243 416  91  10 180 180
## 574 0.369 425  882 0.482 0.512 160 205 0.780  53 262  315 563 100  20 253 141
## 575 0.529 404  683 0.592 0.596 208 291 0.715 186 504  690 212  48  30 160 239
## 576 0.379  17   31 0.548 0.558   4   6 0.667   3  13   16  10   8   3  12  19
## 577 0.357  24   40 0.600 0.583  17  21 0.810   5  27   32   4   4   3   4   8
## 578 0.395 193  368 0.524 0.545 131 160 0.819  82 197  279 399  82  13 120 172
## 579 0.341 333  740 0.450 0.470 186 227 0.819  38 246  284 323  65  12 172 189
## 580 0.412  27   71 0.380 0.529  10  15 0.667  19  83  102  22   9   5  17  68
## 581 0.391  40   97 0.412 0.513  12  18 0.667  24 150  174  44  17   8  27  88
## 582 0.401  67  168 0.399 0.520  22  33 0.667  43 233  276  66  26  13  44 156
## 583 0.436  37   71 0.521 0.591  14  22 0.636   8 115  123  27  43   5  25  41
## 584 0.317  45   98 0.459 0.466  22  29 0.759  16  28   44  36  10   6  23  48
## 585 0.315  96  211 0.455 0.461  45  63 0.714  21 115  136  73  23   7  56  83
## 586 0.316 141  309 0.456 0.463  67  92 0.728  37 143  180 109  33  13  79 131
## 587 0.402 400  910 0.440 0.480 214 255 0.839  57 179  236 243  44   6 185 186
## 588 0.450  19   59 0.322 0.576  31  39 0.795   7  49   56  58  13   2  19  49
## 589 0.404  54  102 0.529 0.584  44  54 0.815  14  64   78  59  24   8  26 106
## 590 0.422  73  161 0.453 0.581  75  93 0.806  21 113  134 117  37  10  45 155
## 591 0.296  13   27 0.481 0.454   2   4 0.500   8  46   54  21  12   4  12  35
## 592 0.366  59  146 0.404 0.489  34  41 0.829  19 110  129  91  47  20  38  92
## 593 0.348  72  173 0.416 0.481  36  45 0.800  27 156  183 112  59  24  50 127
## 594 0.369 440  731 0.602 0.591 237 302 0.785 124 425  549 248  73  52 154 241
## 595 1.000   0    0    NA 1.500   0   0    NA   0   0    0   0   0   0   0   0
## 596 0.000 540  954 0.566 0.563 257 428 0.600 172 525  697 610 112  61 274 209
## 597 0.429  20   43 0.465 0.523  16  25 0.640   4  22   26  33  11   1  12  21
## 598 0.229  85  203 0.419 0.397  56  72 0.778  23  77  100  95  18  14  56  68
## 599 0.269 105  246 0.427 0.420  72  97 0.742  27  99  126 128  29  15  68  89
## 600    NA   0    0    NA    NA   0   0    NA   0   0    0   0   0   0   0   0
## 601 0.345  18   34 0.529 0.524   9  16 0.563   3  10   13  13   1   0  11   9
## 602 0.364 113  221 0.511 0.533 104 129 0.806  57 177  234 321 143  28 123 201
## 603 0.289  97  210 0.462 0.454  42  74 0.568  14  44   58 114  27   9  54  47
## 604 0.344 114  232 0.491 0.500  57  82 0.695  18  79   97 138  40  11 100  82
## 605 0.322 211  442 0.477 0.479  99 156 0.635  32 123  155 252  67  20 154 129
## 606 0.326 161  354 0.455 0.464  47  62 0.758  23 122  145 203  28  11  61 109
## 607 0.308  15   40 0.375 0.418   8  10 0.800   0  18   18  21  11   3  11  19
## 608 0.286   0    2 0.000 0.333   2   2 1.000   2   2    4   1   0   0   1   3
## 609 0.333   1    4 0.250 0.423   2   2 1.000   3   8   11   1   2   2   5   6
## 610 0.400  11   27 0.407 0.459  10  12 0.833  11  26   37  12   1   5   7  21
## 611 0.346  12   33 0.364 0.432  14  16 0.875  16  36   52  14   3   7  13  30
## 612 0.375   8   18 0.444 0.500   6   8 0.750   3  10   13  10   2   2   6   8
## 613 0.397  82  157 0.522 0.564  37  42 0.881  29 128  157  68  26  18  23  90
## 614    NA   0    0    NA    NA   0   0    NA   0   0    0   0   0   0   0   0
## 615 0.000  25   44 0.568 0.532   4  12 0.333  15  33   48   5   9   8   9  23
## 616 0.000  25   44 0.568 0.532   4  12 0.333  15  33   48   5   9   8   9  23
## 617 0.344  54  116 0.466 0.492  32  45 0.711  72 122  194  47  26  25  31  67
## 618 0.429  13   46 0.283 0.491  25  28 0.893   8  39   47  19   7   3  11  19
## 619 0.344  53  104 0.510 0.513  32  36 0.889  10  70   80  62  14   4  40  31
## 620 0.372  66  150 0.440 0.506  57  64 0.891  18 109  127  81  21   7  51  50
## 621    NA   1    2 0.500 0.500   0   0    NA   0   0    0   0   1   0   1   0
## 622 0.371 111  235 0.472 0.510  50  73 0.685  32 183  215 140  41   7  86 111
## 623 0.259  15   37 0.405 0.398  15  24 0.625   9  15   24  10  12   5  10  26
## 624 0.000   4    7 0.571 0.444   0   2 0.000   4   8   12   4   2   1   2   6
## 625 0.200  13   39 0.333 0.330   6   7 0.857  13  39   52   7   4   0  16  22
## 626 0.143  17   46 0.370 0.349   6   9 0.667  17  47   64  11   6   1  18  28
## 627 0.373 350  725 0.483 0.506 195 228 0.855  70 407  477 168  84  57 122 168
## 628 0.333 141  311 0.453 0.465 123 153 0.804  16  90  106 343  43  18  97  90
## 629 0.296  26   52 0.500 0.472  23  31 0.742  10  54   64  37  26   5  16  70
## 630 0.352  92  177 0.520 0.525  57  76 0.750  18 134  152  69  50  25  54 134
## 631 0.341 118  229 0.515 0.513  80 107 0.748  28 188  216 106  76  30  70 204
## 632 0.370   7   13 0.538 0.550   4   7 0.571   3  13   16  32   3   1  21  27
## 633 0.235   8   22 0.364 0.359   3   6 0.500   1   5    6  12   3   2  10  16
## 634    NA   0    1 0.000 0.000   1   2 0.500   1   0    1   1   0   0   0   0
## 635    NA   4    6 0.667 0.667   1   2 0.500   2   4    6   1   3   0   2   4
## 636    NA   4    7 0.571 0.571   2   4 0.500   3   4    7   2   3   0   2   4
## 637 0.388 120  199 0.603 0.598  56  76 0.737  87 138  225  68  21  42  33 161
## 638 0.279  22   56 0.393 0.404  17  27 0.630   5   8   13  23   5   1  18  17
## 639 0.286  12   34 0.353 0.391   7  11 0.636   4  16   20   8   7   5   4  22
## 640 0.278  56  118 0.475 0.452  27  36 0.750  21  96  117  27  17   7  24  83
## 641 0.402 414  803 0.516 0.553 129 158 0.816  37 262  299 186  84  47 115 157
## 642    NA 201  380 0.529 0.529  68 106 0.642 173 265  438  86  28  16  59  89
## 643 0.200  14   34 0.412 0.378  25  34 0.735   5  39   44  18  14   7  20  41
## 644 0.377  18   44 0.409 0.539  47  60 0.783  15 162  177  46  17  21  36  91
## 645 0.400 539  959 0.562 0.572 376 450 0.836 263 691  954 259  67 125 240 292
## 646 0.238  11   29 0.379 0.370   3   7 0.429   1  10   11   5   1   2   4   4
## 647 0.394 180  386 0.466 0.498 179 223 0.803  31 166  197 119  28  14 116 117
## 648 0.377  61  136 0.449 0.535  41  59 0.695 121 358  479  96 132  39  63 252
## 649 0.212 193  391 0.494 0.473  75 106 0.708  37 291  328 283  33  18 114 110
## 650 0.388 304  584 0.521 0.536 148 201 0.736 101 430  531 115  60 199 100 195
## 651    NA  50   72 0.694 0.694  19  30 0.633  27  63   90  28  10  31  13  36
## 652    NA   0    0    NA    NA   0   0    NA   0   0    0   0   0   0   0   0
## 653 0.278 147  261 0.563 0.554  70  91 0.769  52 151  203  41   6  30  51  64
## 654 0.300 140  229 0.611 0.593  77  94 0.819  54 162  216  29  13  23  39  82
## 655 0.292 287  490 0.586 0.572 147 185 0.795 106 313  419  70  19  53  90 146
## 656 0.000   9   18 0.500 0.474   6  10 0.600   7  16   23   3   6   1   8   8
## 657 0.378 134  304 0.441 0.503  97 115 0.843  21 146  167 307  57  20  82 110
## 658 0.336 161  303 0.531 0.523 111 156 0.712 113 415  528 129  46  51  88 174
## 659 0.364 617 1123 0.549 0.549 179 227 0.789 224 736  960 307  81  89 159 157
## 660 0.330 330  699 0.472 0.478 165 233 0.708  69 216  285 301  59  38 166 118
## 661 0.286  49   94 0.521 0.480  43  53 0.811  17  68   85  24  11  13  39  57
## 662 0.377  89  189 0.471 0.528  22  44 0.500   7 109  116 121  29   9  64  72
## 663 0.356 471  953 0.494 0.511 380 450 0.844  52 309  361 484 102  34 211 131
## 664 0.385  11   33 0.333 0.402   8  10 0.800   0  17   17   9   7   3   4   7
## 665 0.302 194  383 0.507 0.490 122 175 0.697  15 101  116 279  49  29 121  71
## 666 0.211  88  198 0.444 0.433  30  57 0.526  20  81  101  42  21   7  36  83
## 667 0.390 139  279 0.498 0.545  95 116 0.819  22 177  199 118  53  19 100 141
## 668 0.410  34   66 0.515 0.552  24  28 0.857   3  38   41  56  12   2  19  34
## 669 0.428 220  431 0.510 0.549 101 124 0.815  31 143  174  64  51  29  52 119
## 670 0.208  11   24 0.458 0.385   3   4 0.750   8  33   41  14  13   2   7  16
## 671 0.125  13   35 0.371 0.314   7  10 0.700   4  27   31   8   4   1   6  11
## 672 0.429   4    6 0.667 0.654   1   2 0.500   0   4    4   5   0   0   1   3
## 673 0.290 511 1062 0.481 0.468 296 451 0.656 109 698  807 784 142  33 325 245
## 674 0.338 212  401 0.529 0.523  95 123 0.772  35 212  247 263  67  47  97 145
## 675 0.000   0    0    NA 0.000   0   0    NA   1   1    2   0   0   0   0   0
## 676 0.125 386  664 0.581 0.572 109 243 0.449 257 560  817  56  46 136  97 192
## 677 0.339 380  861 0.441 0.461 207 296 0.699  83 269  352 184  70  48 138 153
## 678 0.000   8   12 0.667 0.615   2   4 0.500   4  15   19   3   1   0   1   2
## 679 0.313  12   19 0.632 0.557   0   1 0.000   1   7    8  12   6   0   5  16
## 680 0.000  65  108 0.602 0.591  27  48 0.563  48  51   99  13   8   7  16  62
## 681 0.333  55  123 0.447 0.477  13  19 0.684  55 164  219  83  45  19  36  95
## 682 0.361 379  847 0.447 0.471 425 485 0.876  40 182  222 402  57  11 181  80
## 683 0.366 135  270 0.500 0.529  66  86 0.767  76 331  407  92  71  61  47 156
## 684    NA  36   51 0.706 0.706   9  15 0.600  27  54   81   7   9  40  10  36
## 685 0.318  30   54 0.556 0.520   9  15 0.600  12  47   59  11  10   8   9  37
## 686 0.362  58  124 0.468 0.506  26  47 0.553  45 177  222  52  18  20  32  85
## 687 0.375 228  493 0.462 0.497  86 137 0.628  63 292  355 282  72  19 142 177
## 688 0.600   9   20 0.450 0.540  10  15 0.667   4  16   20   2   0   0   3   3
## 689 0.286  43   71 0.606 0.565  31  41 0.756  13  50   63   6   7  10  14  14
## 690 0.346  52   91 0.571 0.560  41  56 0.732  17  66   83   8   7  10  17  17
## 691 0.256  95  187 0.508 0.472  66  89 0.742  29 112  141 138  42  15  40  50
## 692 0.333  97  203 0.478 0.485  53  61 0.869  39  86  125 110  46  15  37  53
## 693 0.298 192  390 0.492 0.478 119 150 0.793  68 198  266 248  88  30  77 103
## 694 0.321  26   49 0.531 0.513  15  22 0.682  23  30   53  15   8   7  15  32
## 695 0.375   0    1 0.000 0.500   0   0    NA   0   1    1   2   0   1   2   4
## 696 0.349 392  695 0.564 0.557  87 135 0.644 192 331  523 204 123  36 123 194
## 697 0.324 369  774 0.477 0.480 343 414 0.829  64 237  301 653  72  15 308 140
## 698 0.273 184  323 0.570 0.559 111 141 0.787 110 223  333 102  38  41  62 164
## 699 0.000   0    1 0.000 0.000   0   0    NA   2   4    6   1   0   0   0   4
## 700 0.000  16   29 0.552 0.533  14  18 0.778  11  13   24   4   1   3   4  20
## 701    NA  16   28 0.571 0.571  14  18 0.778   9   9   18   3   1   3   4  16
## 702    NA 100  186 0.538 0.538  44  60 0.733  61 139  200  38  10  24  37  64
## 703    NA 112  193 0.580 0.580  57  66 0.864  54 108  162  25   4  27  33  73
## 704    NA 212  379 0.559 0.559 101 126 0.802 115 247  362  63  14  51  70 137
## 705 0.300  27   62 0.435 0.443  27  30 0.900  21  65   86  26   4   3  25  39
## 706 0.383 159  311 0.511 0.540 105 120 0.875 105 266  371 101  41   6  72 143
## 707 0.365 186  373 0.499 0.522 132 150 0.880 126 331  457 127  45   9  97 182
## 708    NA 183  331 0.553 0.553  93 132 0.705 108 212  320  53  13  22  61 113
##      PTS player_id   salary
## 1    165         1  3667645
## 2     17         2   213948
## 3    108         4   236854
## 4   1108         3 24157304
## 5    729         5  2955840
## 6     32         6    77250
## 7      7         8    77250
## 8   1727        10 22347015
## 9     37        11    77250
## 10   211        12  2076960
## 11   873        13  2034120
## 12   189        14    77250
## 13   760        15  6957105
## 14   178        18  2516047
## 15   346        17  8641000
## 16     7        16 20421546
## 17    56        16 20421546
## 18    63        16 20421546
## 19     0        19  1349383
## 20  1994        20 24157304
## 21     2        21    77250
## 22   134        22  2393887
## 23   469        23  1952760
## 24   544        24  1349383
## 25   258        25 15000000
## 26   605        25 15000000
## 27   863        25 15000000
## 28   948        28  7250000
## 29  1159        29  8175840
## 30   316        30  1378242
## 31   923        31  7314960
## 32     0        32  4697823
## 33    14        32  4697823
## 34    14        32  4697823
## 35    30        33  1544951
## 36   465        34  7461960
## 37   292        35  4871280
## 38   415        NA       NA
## 39   399        36 24107258
## 40   866        36 24107258
## 41  1265        36 24107258
## 42   494        37 11830358
## 43   151        38   838464
## 44   699        39 24000000
## 45   209        40  8575916
## 46   284        41  5193600
## 47   779        42 18089888
## 48  2099        43 25434262
## 49   917        45  1773840
## 50   181        44  3500000
## 51   829        46  6153846
## 52   223        47  1378242
## 53   687        NA       NA
## 54   230        49  4661280
## 55    34        51   194220
## 56   606        50  7000000
## 57   596        52  5027028
## 58   240        54  1378242
## 59   236        56 17000000
## 60   741        57  6500000
## 61   418        58  1349383
## 62  1241        59 15000000
## 63   114        60    77250
## 64   990        63  9000000
## 65  1454        62 10500000
## 66    39        64   486892
## 67   207        65  1690000
## 68    19        66  1000000
## 69  1700        67  3314365
## 70    93        69   457418
## 71   225        70 12000000
## 72   400        70 12000000
## 73   625        70 12000000
## 74    17        71  1679520
## 75    53        72  2559925
## 76    98        72  2559925
## 77   151        72  2559925
## 78   684        73  3557400
## 79   597        74  3206640
## 80   136        75   838464
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## 82  1001        77  1544951
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## 84   190        78  1656092
## 85   319        83   838464
## 86   964        80  5169960
## 87    55        84   800000
## 88   372        82  1378242
## 89   248        81  2752680
## 90   678        85  1230000
## 91   758        86  1378242
## 92   177        87  2500000
## 93   534        87  2500000
## 94   711        87  2500000
## 95   243        88  1795015
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## 97   631        88  1795015
## 98    22        89 11536515
## 99   143        89 11536515
## 100  396        89 11536515
## 101  561        89 11536515
## 102   82        90   500000
## 103  213        91 19841627
## 104 1002        91 19841627
## 105 1215        91 19841627
## 106  282        92   705361
## 107  113        93  2393887
## 108  938        94 12000000
## 109    6        95   744671
## 110   33        95   744671
## 111  142        95   744671
## 112  181        95   744671
## 113 1114        96 15793104
## 114  744        97 15400000
## 115  172       100   838464
## 116  562        99  2393887
## 117  455        98  4446840
## 118   65       101  1468082
## 119   69       101  1468082
## 120  134       101  1468082
## 121  229       102    77250
## 122  226       103  2176260
## 123  965       104  4696874
## 124   10       105    77250
## 125    9       106    77250
## 126   26       107 13585000
## 127  147       107 13585000
## 128  173       107 13585000
## 129   64       108 12800562
## 130  241       108 12800562
## 131  305       108 12800562
## 132    2       109    77250
## 133    6       110   137374
## 134   29       111  3206160
## 135  153       111  3206160
## 136  182       111  3206160
## 137  148       113   674122
## 138  401       112  1757429
## 139 1364       114 12500000
## 140 1188       116  2299080
## 141  512       115  3628920
## 142  853       117 10000000
## 143   39       118    77250
## 144 1478       119 30521115
## 145  421       120  1641000
## 146  509       121  1544951
## 147  488       123  5337000
## 148  147       124 10464092
## 149  318       124 10464092
## 150  465       124 10464092
## 151  413       125 19332500
## 152  430       126  2000000
## 153  508       127  4698113
## 154    6       128    56845
## 155   15       128    56845
## 156   21       128    56845
## 157  951       130  7305825
## 158  194       131  2487000
## 159  581       133  2795000
## 160 1881       132 37457154
## 161  318       134  3258539
## 162 1452       135 25434263
## 163   36       137  1741503
## 164  472       136  4449000
## 165    0       138    77250
## 166  693       139  6300000
## 167   57       140  2760094
## 168  230       140  2760094
## 169  287       140  2760094
## 170    3       141    77250
## 171   20       142  9607500
## 172  262       142  9607500
## 173  282       142  9607500
## 174  157       144 16747954
## 175 1635       145 27739975
## 176   46       146    77250
## 177  387       147  1544951
## 178  190       148   838464
## 179  485       149 15170787
## 180 1143       150  1656092
## 181  131       151  2484360
## 182 1526       152  6569040
## 183   90       153  1378242
## 184  206       153  1378242
## 185  296       153  1378242
## 186  779       154  1378242
## 187   19       155    77250
## 188  494       156 18109175
## 189 1370       157 25434262
## 190  287       158  9530000
## 191  519       159  4221000
## 192 2027       160 30000000
## 193    5       161    77250
## 194    3        NA       NA
## 195   12       163  2199311
## 196  102       163  2199311
## 197  114       163  2199311
## 198  209       164  8653076
## 199  336       164  8653076
## 200  545       164  8653076
## 201 1761       166 25467250
## 202   95       167  1621415
## 203  294       167  1621415
## 204  389       167  1621415
## 205   41       168    77250
## 206   40       170  1646400
## 207    0       171  1455492
## 208    6       171  1455492
## 209    6       171  1455492
## 210  706       169 12400000
## 211  288       173 10600000
## 212   61       174 14242782
## 213  323       174 14242782
## 214  384       174 14242782
## 215  897       175 16900000
## 216  142       177  2393887
## 217  240       176  8470980
## 218  513       178  2118840
## 219  420       179  3000000
## 220  608       180  1544951
## 221  967       181  3125000
## 222 1226       182 17000000
## 223 1399       183  5470920
## 224   15       185  1050000
## 225   75       184  1832107
## 226  235       184  1832107
## 227  310       184  1832107
## 228   22       187   198579
## 229  129       188  2393887
## 230  155       189  8339880
## 231 1346       191 21587579
## 232  672       192  7000000
## 233   26       193    67370
## 234  237       194 24119025
## 235  834       194 24119025
## 236 1071       194 24119025
## 237    4       195 17133285
## 238  114       195 17133285
## 239  118       195 17133285
## 240  946       196 10087200
## 241 2159       197 30560700
## 242  753       198 14000000
## 243  408       200  2207040
## 244  889       201  3375360
## 245 1284       203 23491573
## 246   23       205    56845
## 247 1246       206 21590909
## 248 1103       207 13500375
## 249  233       208 13565218
## 250  217        NA       NA
## 251  184       209  1512601
## 252 1090       211  8333333
## 253  250       212  2639313
## 254    0       213    77250
## 255  821       215 10000000
## 256  486       214 17469565
## 257  675       218  1512601
## 258  208       216  8066667
## 259  403       216  8066667
## 260  611       216  8066667
## 261  946       217  2393887
## 262 1841       219 31873932
## 263   57       220  1349383
## 264    8       222    47370
## 265  294       223 17325000
## 266  880       223 17325000
## 267 1174       223 17325000
## 268 2818       224 30570000
## 269  460        NA       NA
## 270 1361       226  6000000
## 271  428       230  2393887
## 272  737       227 16517857
## 273 1041       229  8333333
## 274  492       228 14800000
## 275 1152       228 14800000
## 276 1644       228 14800000
## 277    2       232   354500
## 278    9       232   354500
## 279   43       232   354500
## 280   54       232   354500
## 281  474       231  1325531
## 282  525       233  1655160
## 283   53       234   838464
## 284   25       235  2393887
## 285  825       237 31214295
## 286   79       238 10577466
## 287  408       239  2166360
## 288  421       240  1496500
## 289  511       241  6500000
## 290   12       242    77250
## 291 1695       244  3833760
## 292    9       245    77250
## 293  140       246 19000000
## 294  318       246 19000000
## 295  458       246 19000000
## 296  191       247 12763467
## 297  151        NA       NA
## 298  294       250  1914480
## 299 1420       248 26641111
## 300  417       249  4500000
## 301  440       249  4500000
## 302  857       249  4500000
## 303    0       251    77250
## 304  527       252  2470356
## 305  572       253  1600520
## 306  258       254  3472887
## 307  547       254  3472887
## 308  805       254  3472887
## 309  925       256 28928710
## 310  366       257   247827
## 311  115       258 24256725
## 312  727       259  2250960
## 313   15       260    47370
## 314   17       261    77250
## 315  229       262  1991520
## 316 1112       263 21666667
## 317  389       264 16000000
## 318  994       266 12545455
## 319    0       268    76236
## 320  950       267  5757120
## 321 1596       269 20099189
## 322  720       270  4969080
## 323  339       271  1378242
## 324  453       265  7000000
## 325   22       277   170107
## 326  495       276  1378242
## 327  798       274  5922720
## 328  910       273  6041520
## 329  237       275  2807880
## 330  346       275  2807880
## 331  583       275  2807880
## 332 1260       272 17043478
## 333 1505       278 35654150
## 334   27       280    77250
## 335    6       281   585809
## 336  115       281   585809
## 337  121       281   585809
## 338  459       282  2165481
## 339   13       289   838464
## 340  201       287  2393887
## 341    2       290   142111
## 342   21       290   142111
## 343   23       290   142111
## 344  428       284 14420700
## 345   96       286  3940401
## 346  358       286  3940401
## 347  454       286  3940401
## 348  144       283 19245370
## 349  475       283 19245370
## 350  619       283 19245370
## 351   33       285  6134000
## 352   95       285  6134000
## 353  128       285  6134000
## 354 1604       291 25467250
## 355  130       293  1544951
## 356  422       294  1512601
## 357   81       296    77250
## 358   27       297    52170
## 359    2       295   198579
## 360  468       292  2444052
## 361  207       298 22897200
## 362  551       298 22897200
## 363  758       298 22897200
## 364  537       299  7945000
## 365  405       301  3627842
## 366  301       302 19264603
## 367  614       302 19264603
## 368  915       302 19264603
## 369  613       303  3275280
## 370  427       304 13000000
## 371    0       305    77250
## 372  485       306  1378242
## 373   36       307 14631250
## 374  230       307 14631250
## 375  266       307 14631250
## 376  963       308  3744840
## 377  279       309  1740000
## 378  322       310  1619260
## 379  108       311  7560000
## 380  492       311  7560000
## 381  600       311  7560000
## 382  156       312  8739500
## 383  534       313  1690000
## 384 1308       314  1689840
## 385   31       315  1544951
## 386   36       315  1544951
## 387   67       315  1544951
## 388 1208       316  7000000
## 389 1492       317 19500000
## 390  541       318  1544951
## 391  225       319  2407560
## 392   56       320 12253780
## 393   80       320 12253780
## 394  136       320 12253780
## 395  158       321    77250
## 396   86        NA       NA
## 397  854       323  4350000
## 398 1596       324 23114066
## 399  357       325 10595506
## 400  156       326 10002681
## 401  547       327  1702800
## 402 2067       328 27977689
## 403  161       329 12516746
## 404  546       329 12516746
## 405  707       329 12516746
## 406  258       330  8307692
## 407    0       331    77250
## 408  500       333  1567007
## 409 1009       335  3382000
## 410  704       334 14357750
## 411  374       336 24119025
## 412  926       337 32700000
## 413   29       338    77250
## 414    2       339   648008
## 415   35        NA       NA
## 416  196        NA       NA
## 417  231        NA       NA
## 418   23       341  1874640
## 419  546       342  3364249
## 420   10       343    76236
## 421    9       344  2512601
## 422  421       344  2512601
## 423  430       344  2512601
## 424   29       345    77250
## 425    6       346    77250
## 426  139       347 16000000
## 427  159       348  2799720
## 428  164       348  2799720
## 429  323       348  2799720
## 430  180       349  9490740
## 431  242       349  9490740
## 432  422       349  9490740
## 433  974       350  4536120
## 434  115       351  2416221
## 435  195       352  1378242
## 436    2       353   385000
## 437   14       354 19360228
## 438  251       354 19360228
## 439  575       354 19360228
## 440  840       354 19360228
## 441   20        NA       NA
## 442    4       356    47370
## 443    5       357   964104
## 444   69       357   964104
## 445   74       357   964104
## 446 1468       358 25759766
## 447  483       359  1600520
## 448  564       360  7333334
## 449  897       361  2393887
## 450  503       362  1544951
## 451  337       363  1349383
## 452   75       364  5460000
## 453  160       365    77250
## 454   51       366  3774176
## 455  141       367  2098196
## 456  250       368   949000
## 457   51       369   838464
## 458 1407       370 13000000
## 459  121       371  8333333
## 460  218       371  8333333
## 461  339       371  8333333
## 462  567       372  2205000
## 463   35       373   457418
## 464  811        NA       NA
## 465  883       375 29230769
## 466   87       376    77250
## 467  163       377 12500000
## 468  534       377 12500000
## 469  697       377 12500000
## 470 1829       378  3111480
## 471   16        NA       NA
## 472  653       379  3447480
## 473    6       380  2410167
## 474   41       380  2410167
## 475  183       380  2410167
## 476  230       380  2410167
## 477  633       381  8808685
## 478    0       383   309859
## 479    7       383   309859
## 480    7       383   309859
## 481   10       387    77250
## 482 1046       385  5375000
## 483  156       384  9173294
## 484  391       384  9173294
## 485  547       384  9173294
## 486  851       386  1349383
## 487    6       388    99289
## 488  102       389    77250
## 489  873       391  4294479
## 490 1367       392  3499800
## 491   19       394  1634400
## 492  100       395  5000000
## 493  349       395  5000000
## 494  449       395  5000000
## 495    6       396  1487694
## 496  127       396  1487694
## 497  133       396  1487694
## 498  241       397  1378242
## 499  627       398  2272390
## 500  529       399  1942422
## 501  196       400  2100000
## 502  235       401  1512601
## 503  298       403 20261172
## 504  378       404  1757429
## 505  373       405  5000000
## 506  246       406  4155720
## 507    9       408   663255
## 508   27       408   663255
## 509   36       408   663255
## 510 1125       409 11111111
## 511  334       410  1512601
## 512  426       411  1378242
## 513  156       412  4449000
## 514  186       413  1378242
## 515  484       414  1567007
## 516  304       415  1238464
## 517  570       416  2163600
## 518  675       417 21000000
## 519  787       418 13537527
## 520  991       419  2775000
## 521  373       420  3208630
## 522  674       420  3208630
## 523 1047       420  3208630
## 524  267       421  2393887
## 525  374       423 20000000
## 526  556       423 20000000
## 527  930       423 20000000
## 528  530       424  5000000
## 529  187       425 24107258
## 530  229       426  5451600
## 531    5       427  2667600
## 532  906       428 35654150
## 533   74       429  3440356
## 534  176       429  3440356
## 535  250       429  3440356
## 536  446       430  3000000
## 537   11       431    85457
## 538   81       433    77250
## 539  637       434 12917808
## 540   80       435 12400000
## 541   98       437  2165481
## 542  262       438 26011913
## 543  518       438 26011913
## 544  780       438 26011913
## 545  310       440  2494346
## 546  400       440  2494346
## 547  710       440  2494346
## 548  815       442  9631250
## 549  516       443  9367200
## 550  107       444    77250
## 551  423        NA       NA
## 552    2       447  1378242
## 553  284       448  1378242
## 554  271       450   975824
## 555 1565       449  8641000
## 556 1372       452 12250000
## 557   12       453   752250
## 558   95        NA       NA
## 559 1209       455  9367200
## 560   30       456  1569360
## 561  210       457 13155324
## 562  408       457 13155324
## 563  618       457 13155324
## 564   47       462    77250
## 565   50       463    77250
## 566  198       459  4075000
## 567  112       460  3050160
## 568  485       461  1485440
## 569  424       464  9000000
## 570  917       465  2176260
## 571 1223       466 10500000
## 572  708       467  3050389
## 573  864       468 14800000
## 574 1712       469  7019698
## 575 1043       470  2659800
## 576   71       472    77250
## 577   80       471    85457
## 578  709       474  3129187
## 579 1224        NA       NA
## 580  211       476  4320500
## 581  248       476  4320500
## 582  459       476  4320500
## 583  190       477  5250000
## 584  172       478  1544951
## 585  342       478  1544951
## 586  514       478  1544951
## 587 1371       479  4073760
## 588  273       480  1705920
## 589  449       480  1705920
## 590  722       480  1705920
## 591   91       481 11011234
## 592  374       481 11011234
## 593  465       481 11011234
## 594 1354       482  1544951
## 595    3       483    47370
## 596 1337       484  6434520
## 597   83       485  6000000
## 598  283       485  6000000
## 599  366       485  6000000
## 600    0       486    76236
## 601   75       487  1837800
## 602  708       489 11160716
## 603  308       494  3819960
## 604  414       494  3819960
## 605  722       494  3819960
## 606  501        NA       NA
## 607   74       490 14720000
## 608    8       492  5450000
## 609   13       492  5450000
## 610   44       492  5450000
## 611   65       492  5450000
## 612   40       495  2615160
## 613  444       496 10607143
## 614    0        NA       NA
## 615   54        NA       NA
## 616   54        NA       NA
## 617  272       499  1622520
## 618  132       500  2161886
## 619  267       500  2161886
## 620  399       500  2161886
## 621    2       501    77250
## 622  491       502  4449000
## 623   66       504   449794
## 624    8       505  1740000
## 625   35       505  1740000
## 626   43       505  1740000
## 627 1243       506  6700800
## 628  510       507 19000000
## 629  123       509  8000000
## 630  463       509  8000000
## 631  586       509  8000000
## 632   48       510  6300000
## 633   31       511    77250
## 634    1       512    94740
## 635    9       512    94740
## 636   10       512    94740
## 637  374       513  1378242
## 638   97       515  2029463
## 639   61       516   838464
## 640  205       514  7119650
## 641 1680       517 18988725
## 642  470       518 17469565
## 643   62       520  1378242
## 644  326       521  5750000
## 645 1880       522  7839435
## 646   40       523   838464
## 647  695       524  3382000
## 648  601       525  7959537
## 649  494       526 17868853
## 650  984       527  3294994
## 651  119       528  3360000
## 652    0       529    77250
## 653  379       530 16539326
## 654  384       530 16539326
## 655  763       530 16539326
## 656   24       532   838464
## 657  701       533  8653847
## 658  571       534  1621415
## 659 1665       535 12750000
## 660 1083       536  2393887
## 661  207       537  1764240
## 662  527       538 12705000
## 663 2102       539 12000000
## 664   45       540  2360160
## 665  663       541 19169800
## 666  218       542  1349383
## 667  742        NA       NA
## 668  140       543   838464
## 669  772       544 11750000
## 670   40       545    77250
## 671   39       546    77250
## 672   18       547    77250
## 673 1675       548 35665000
## 674  663       549  1667160
## 675    0       550   247827
## 676  887       552 24434262
## 677 1321       553 25467250
## 678   18       562    77250
## 679   39       561    77250
## 680  157       559   127250
## 681  279       558   838464
## 682 1498        NA       NA
## 683  756       554 14087500
## 684   81       557  1656600
## 685  111       560    77250
## 686  280       563  2534280
## 687  830       564  3448926
## 688   37       565  1512601
## 689  135       565  1512601
## 690  172       565  1512601
## 691  316       566  2536898
## 692  337       566  2536898
## 693  653       566  2536898
## 694   94       567  2667600
## 695    9       570   284020
## 696 1024       568 13764045
## 697 1549       569  5363280
## 698  497       572 13528090
## 699    0       573   213948
## 700   46       573   213948
## 701   46       573   213948
## 702  244       575  1544951
## 703  281       575  1544951
## 704  525       575  1544951
## 705  144       473  2526840
## 706  714       473  2526840
## 707  858       473  2526840
## 708  459       574  1952760
sum(is.na(pms))
## [1] 161
which(is.na(pms), arr.ind = TRUE)
##        row col
##   [1,] 303  10
##   [2,] 371  10
##   [3,] 478  10
##   [4,] 600  10
##   [5,] 614  10
##   [6,] 652  10
##   [7,]  19  13
##   [8,]  21  13
##   [9,]  59  13
##  [10,]  66  13
##  [11,]  74  13
##  [12,] 113  13
##  [13,] 126  13
##  [14,] 132  13
##  [15,] 165  13
##  [16,] 170  13
##  [17,] 205  13
##  [18,] 245  13
##  [19,] 249  13
##  [20,] 290  13
##  [21,] 303  13
##  [22,] 305  13
##  [23,] 311  13
##  [24,] 334  13
##  [25,] 355  13
##  [26,] 361  13
##  [27,] 362  13
##  [28,] 363  13
##  [29,] 371  13
##  [30,] 382  13
##  [31,] 473  13
##  [32,] 478  13
##  [33,] 487  13
##  [34,] 504  13
##  [35,] 540  13
##  [36,] 551  13
##  [37,] 552  13
##  [38,] 568  13
##  [39,] 600  13
##  [40,] 614  13
##  [41,] 621  13
##  [42,] 634  13
##  [43,] 635  13
##  [44,] 636  13
##  [45,] 642  13
##  [46,] 651  13
##  [47,] 652  13
##  [48,] 684  13
##  [49,] 701  13
##  [50,] 702  13
##  [51,] 703  13
##  [52,] 704  13
##  [53,] 708  13
##  [54,]  32  16
##  [55,] 194  16
##  [56,] 207  16
##  [57,] 254  16
##  [58,] 303  16
##  [59,] 335  16
##  [60,] 371  16
##  [61,] 407  16
##  [62,] 414  16
##  [63,] 478  16
##  [64,] 595  16
##  [65,] 600  16
##  [66,] 614  16
##  [67,] 652  16
##  [68,] 675  16
##  [69,] 303  17
##  [70,] 371  17
##  [71,] 478  17
##  [72,] 600  17
##  [73,] 614  17
##  [74,] 652  17
##  [75,]  19  20
##  [76,]  32  20
##  [77,]  55  20
##  [78,] 109  20
##  [79,] 124  20
##  [80,] 132  20
##  [81,] 133  20
##  [82,] 154  20
##  [83,] 165  20
##  [84,] 193  20
##  [85,] 194  20
##  [86,] 207  20
##  [87,] 208  20
##  [88,] 209  20
##  [89,] 254  20
##  [90,] 277  20
##  [91,] 303  20
##  [92,] 313  20
##  [93,] 319  20
##  [94,] 335  20
##  [95,] 341  20
##  [96,] 371  20
##  [97,] 407  20
##  [98,] 425  20
##  [99,] 436  20
## [100,] 443  20
## [101,] 473  20
## [102,] 478  20
## [103,] 479  20
## [104,] 480  20
## [105,] 495  20
## [106,] 507  20
## [107,] 537  20
## [108,] 552  20
## [109,] 557  20
## [110,] 595  20
## [111,] 600  20
## [112,] 614  20
## [113,] 621  20
## [114,] 652  20
## [115,] 675  20
## [116,] 695  20
## [117,] 699  20
## [118,]  38  30
## [119,]  53  30
## [120,] 194  30
## [121,] 250  30
## [122,] 269  30
## [123,] 297  30
## [124,] 396  30
## [125,] 415  30
## [126,] 416  30
## [127,] 417  30
## [128,] 441  30
## [129,] 464  30
## [130,] 471  30
## [131,] 551  30
## [132,] 558  30
## [133,] 579  30
## [134,] 606  30
## [135,] 614  30
## [136,] 615  30
## [137,] 616  30
## [138,] 667  30
## [139,] 682  30
## [140,]  38  31
## [141,]  53  31
## [142,] 194  31
## [143,] 250  31
## [144,] 269  31
## [145,] 297  31
## [146,] 396  31
## [147,] 415  31
## [148,] 416  31
## [149,] 417  31
## [150,] 441  31
## [151,] 464  31
## [152,] 471  31
## [153,] 551  31
## [154,] 558  31
## [155,] 579  31
## [156,] 606  31
## [157,] 614  31
## [158,] 615  31
## [159,] 616  31
## [160,] 667  31
## [161,] 682  31
naniar::vis_miss(pms)

pms[is.na(pms)] = 0
sum(is.na(pms))
## [1] 0

5. Player recommendations

After developing the winning percentage model based on team statistic, the model can next be applied on team player selection by introducing team player statistic. The two provided data sets of team player statistics and team player salaries are first combined. No missing values are found with the chosen data (player_id,Age, TM,GS,POS,PTS,FGS,FTA,TOV,TRB,salary) for interpretation. By considering some players with limited game starts who may give a very high true shooting percentage, only player with game start >41games (half-season) is considered in this model.

filtered player data

pmsf <- subset(pms, select = c("player_name", "player_id","Age" ,"Tm", "GS", "Pos", "PTS","FGA","FTA", "TOV","TRB", "salary"))

## game start more than 41 games will be considered (Half of the regular season)
pmsf <- pmsf %>% filter( GS >= 41)

## calculating true shooting%
## TS. = Points/[2*(Field Goals Attempted + 0.44 * Free Throws Attempted)]
pmsf <- mutate(pmsf, TS. = PTS/(2*(FGA + 0.44* FTA)))

pmsf <- mutate(pmsf, win_score = -369 + TS. * 426.9 + TOV * -0.04355 + TRB * 0.03569 + Age * 3.73282)
duplicated(pmsf)
##   [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [13] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [25] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [37] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [49] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [61] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [73] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [85] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [97] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [109] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [121] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [133] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [145] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
pmsf <- pmsf%>% distinct(player_name, .keep_all = TRUE)

pmsf %>% select(player_name, Pos, salary, win_score) %>%
  arrange(desc(win_score)) %>% top_n(10)
## Selecting by win_score
##         player_name Pos   salary win_score
## 1       Rudy Gobert   C 23491573  50.58856
## 2    DeAndre Jordan   C 22897200  49.40593
## 3      JaVale McGee   C  2393887  32.69070
## 4        Taj Gibson  PF 14000000  28.74703
## 5      Clint Capela   C 15793104  27.54803
## 6       Danny Green  SG 10000000  24.63439
## 7  Danilo Gallinari  SF 21587579  23.92374
## 8     Stephen Curry  PG 37457154  21.61442
## 9        Al Horford   C 28928710  20.51479
## 10     Kevin Durant  SF 30000000  20.38839

A table with volumes of player_name, POS, Salary and WIN_score is shown for clearing presentation and comparison among players. The original goal of the analysis is to select the best five starting players that my team can afford, which proving that they are worth it based on the provided team and player statistic. A graph of player salary against win score is then plotted for visualisation comparison. Hence, players of high win score and low salary (left top quarter of the graph) is desirable. The same plots are applied to each of the position (POS) point guard, shooting guard, small forward, power forward and centre to evaluate player selection.

player_labels <- if_else(pmsf$win_score >= 0, paste(pmsf$player_id), "")

pmsf %>% ggplot(aes(salary, win_score, color = Pos )) +
  geom_point()+
  geom_text(aes(label= player_labels), nudge_y = 6, nudge_x = 0.25)

Top 10 point guard

dat_pg <- filter(pmsf, Pos == "PG")
dat_pg <- subset(dat_pg, select = c("player_name", "player_id" ,"Pos", "salary", "win_score"))
dat_pg %>% arrange(desc(win_score)) %>% top_n(10)
## Selecting by win_score
##         player_name player_id Pos   salary win_score
## 1     Stephen Curry       132  PG 37457154 21.614424
## 2       DJ Augustin        28  PG  7250000 11.536498
## 3      James Harden       224  PG 30570000  3.949789
## 4        Chris Paul       428  PG 35654150 -4.030314
## 5   Darren Collison       117  PG 10000000 -5.263312
## 6        Kyle Lowry       337  PG 32700000 -6.573124
## 7  Patrick Beverley        52  PG  5027028 -7.345029
## 8       Mike Conley       119  PG 30521115 -7.483797
## 9      Eric Bledsoe        59  PG 15000000 -8.566858
## 10   Damian Lillard       328  PG 27977689 -9.607731

Top 10 shooting guard

dat_sg <- filter(pmsf, Pos == "SG")
dat_sg <- subset(dat_sg, select = c("player_name", "player_id" ,"Pos", "salary", "win_score"))
dat_sg %>% arrange(desc(win_score)) %>% top_n(10)
## Selecting by win_score
##        player_name player_id Pos   salary  win_score
## 1      Danny Green       215  SG 10000000  24.634387
## 2        JJ Redick       452  SG 12250000  17.225017
## 3       Joe Harris       229  SG  8333333  12.408815
## 4  Malcolm Brogdon        77  SG  1544951  -3.428661
## 5   Garrett Temple       509  SG  8000000 -11.419616
## 6      Buddy Hield       244  SG  3833760 -13.207772
## 7    Klay Thompson       517  SG 18988725 -15.127103
## 8      Bryn Forbes       181  SG  3125000 -20.541323
## 9    DeMar DeRozan       145  SG 27739975 -21.352242
## 10     Eric Gordon       207  SG 13500375 -21.360775

Top 10 small forward

dat_sf <- filter(pmsf, Pos == "SF")
dat_sf <- subset(dat_sf, select = c("player_name", "player_id" ,"Pos", "salary", "win_score"))
dat_sf %>% arrange(desc(win_score)) %>% top_n(10)
## Selecting by win_score
##         player_name player_id Pos   salary     win_score
## 1  Danilo Gallinari       191  SF 21587579  23.923737412
## 2      Kevin Durant       160  SF 30000000  20.388386014
## 3      LeBron James       278  SF 35654150  17.114822999
## 4  Bojan Bogdanovic        62  SF 10500000   7.160704877
## 5     Kawhi Leonard       324  SF 23114066   0.962871973
## 6     Nicolas Batum        39  SF 24000000  -0.002232873
## 7       Paul George       197  SF 30560700  -2.108804413
## 8      Trevor Ariza        25  SF 15000000 -10.985351850
## 9      Jimmy Butler        91  SF 19841627 -11.093456911
## 10  Wesley Matthews       354  SF 19360228 -11.222775168

Top 10 power forward

dat_pf <- filter(pmsf, Pos == "PF")
dat_pf <- subset(dat_pf, select = c("player_name", "player_id" ,"Pos", "salary", "win_score"))
dat_pf %>% arrange(desc(win_score)) %>% top_n(10) 
## Selecting by win_score
##              player_name player_id Pos   salary  win_score
## 1             Taj Gibson       198  PF 14000000 28.7470319
## 2             Jeff Green       217  PF  2393887 16.7420830
## 3  Giannis Antetokounmpo        20  PF 24157304 15.7646526
## 4           Paul Millsap       375  PF 29230769 11.4027009
## 5               Rudy Gay       196  PF 10087200 11.3392548
## 6        Nemanja Bjelica        57  PF  6500000  4.9385397
## 7              PJ Tucker       525  PF  7959537  2.2194325
## 8          Pascal Siakam       482  PF  1544951  1.6041736
## 9         Thaddeus Young       568  PF 13764045 -0.9554026
## 10            Joe Ingles       266  PF 12545455 -2.0834403

Top 10 center

dat_c <- filter(pmsf, Pos == "C")
dat_c <- subset(dat_c, select = c("player_name", "player_id" ,"Pos", "salary", "win_score"))
dat_c %>% arrange(desc(win_score)) %>% top_n(10)
## Selecting by win_score
##          player_name player_id Pos   salary win_score
## 1        Rudy Gobert       203   C 23491573 50.588564
## 2     DeAndre Jordan       298   C 22897200 49.405932
## 3       JaVale McGee       361   C  2393887 32.690700
## 4       Clint Capela        96   C 15793104 27.548033
## 5         Al Horford       256   C 28928710 20.514790
## 6  LaMarcus Aldridge        10   C 22347015 20.171455
## 7     Derrick Favors       175   C 16900000 14.288852
## 8      Thomas Bryant        86   C  1378242 10.727755
## 9     Dewayne Dedmon       139   C  6300000  9.656709
## 10       Brook Lopez       335   C  3382000  8.568587

Best five starting players

The following 5 players are selected:

1) PG- Point Guard - Stephen Curry

2) SG- Shooting Guard - Danny Green

3) SF- Small Forward - Danilo Gallinari

4) PF- Power Forward - Taj Gibson

5) C- Centre - Rudy Gobert

With total salaries of five starters is 107million, which is under our team next season player contract budget of $118 million.

dat_pg_start <- dat_pg %>% arrange(desc(win_score)) %>% top_n(10)%>% slice_max(1)
dat_sg_start <- dat_sg %>% arrange(desc(win_score)) %>% top_n(10)%>% slice_max(1)
dat_sf_start <- dat_sf %>% arrange(desc(win_score)) %>% top_n(10) %>% slice_max(1)
dat_pf_start <- dat_pf %>% arrange(desc(win_score)) %>% top_n(10)%>% slice_max(1)
dat_c_start <- dat_c %>% arrange(desc(win_score)) %>% top_n(10)%>% slice_max(1)
dat_start_five <- bind_rows(dat_pg_start,dat_sg_start, dat_sf_start, dat_pf_start, dat_c_start)
tibble(dat_start_five)
## # A tibble: 5 x 5
##   player_name      player_id Pos     salary win_score
##   <chr>                <dbl> <chr>    <dbl>     <dbl>
## 1 Stephen Curry          132 PG    37457154      21.6
## 2 Danny Green            215 SG    10000000      24.6
## 3 Danilo Gallinari       191 SF    21587579      23.9
## 4 Taj Gibson             198 PF    14000000      28.7
## 5 Rudy Gobert            203 C     23491573      50.6

total salaries of five starters

exp_salary <- sum(dat_start_five$salary)
print(exp_salary)
## [1] 106536306
##check the expecting lineup salary 
exp_salary <- sum(dat_start_five$salary)
if(exp_salary < 118000000)
print("Within Buget")
## [1] "Within Buget"

6. Summary

The specific analysis of this project is a multiple linear regression model that demonstrate relationship between winning percentage and team/player performance measure. One of the critical parts of this project is to choose which types of performance measures to be selected in order to develop the model. In this project, true shoot percentage, turn over, total rebound, Age are applied. However, the selected five players would result in a total contract cost of 106 million. Therefore, given that the rest of the team requires more budget, other players might have to be considered.

By considering model development limitation, limited set of statistics can be one of the limitations in this modelling project. Multiple years of data would be practical in building stronger relative relationship between winning percentage and other team/player performance variables. Secondly, individual player’s statistic such as height, health data, injury history are also factors that should be considered when selecting the team. To conclude, 5 players have been selected based on the winning percentage model within the team specified budget. Further fine tone may be carried out by eliminating the limitation factors.